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Finding the Fourth Proportional to 3,124.71, 4,312.08 and 1,865.70

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Solution

The fourth proportional to 3,124.71, 4,312.08 and 1,865.70 is: 2,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.71 : 4,312.08 = 1,865.70 : x
  2. Step 2: Convert to fraction form
    3,124.71/4,312.08 = 1,865.70/x
  3. Step 3: Cross multiply
    3,124.71x = 4,312.08 × 1,865.70
  4. Step 4: Simplify right side
    3,124.71x = 8,045,047.66
  5. Step 5: Solve for x
    x = 8,045,047.66/3,124.71
  6. Step 6: Final answer
    x = 2,574.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.