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Finding the Fourth Proportional to 1,471.16, 2,215.49 and 1,281.08

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Solution

The fourth proportional to 1,471.16, 2,215.49 and 1,281.08 is: 1,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.16 : 2,215.49 = 1,281.08 : x
  2. Step 2: Convert to fraction form
    1,471.16/2,215.49 = 1,281.08/x
  3. Step 3: Cross multiply
    1,471.16x = 2,215.49 × 1,281.08
  4. Step 4: Simplify right side
    1,471.16x = 2,838,219.93
  5. Step 5: Solve for x
    x = 2,838,219.93/1,471.16
  6. Step 6: Final answer
    x = 1,929.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.