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Finding the Fourth Proportional to 1,920.65, 2,856.01 and 1,862.15

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Solution

The fourth proportional to 1,920.65, 2,856.01 and 1,862.15 is: 2,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.65 : 2,856.01 = 1,862.15 : x
  2. Step 2: Convert to fraction form
    1,920.65/2,856.01 = 1,862.15/x
  3. Step 3: Cross multiply
    1,920.65x = 2,856.01 × 1,862.15
  4. Step 4: Simplify right side
    1,920.65x = 5,318,319.02
  5. Step 5: Solve for x
    x = 5,318,319.02/1,920.65
  6. Step 6: Final answer
    x = 2,769.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.