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Finding the Fourth Proportional to 1,545.40, 2,312.70 and 1,545.40

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Solution

The fourth proportional to 1,545.40, 2,312.70 and 1,545.40 is: 2,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.40 : 2,312.70 = 1,545.40 : x
  2. Step 2: Convert to fraction form
    1,545.40/2,312.70 = 1,545.40/x
  3. Step 3: Cross multiply
    1,545.40x = 2,312.70 × 1,545.40
  4. Step 4: Simplify right side
    1,545.40x = 3,574,046.58
  5. Step 5: Solve for x
    x = 3,574,046.58/1,545.40
  6. Step 6: Final answer
    x = 2,312.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.