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Finding the Fourth Proportional to 2,365.80, 3,545.46 and 1,542.84

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Solution

The fourth proportional to 2,365.80, 3,545.46 and 1,542.84 is: 2,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.80 : 3,545.46 = 1,542.84 : x
  2. Step 2: Convert to fraction form
    2,365.80/3,545.46 = 1,542.84/x
  3. Step 3: Cross multiply
    2,365.80x = 3,545.46 × 1,542.84
  4. Step 4: Simplify right side
    2,365.80x = 5,470,077.51
  5. Step 5: Solve for x
    x = 5,470,077.51/2,365.80
  6. Step 6: Final answer
    x = 2,312.15

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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.