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Finding the Fourth Proportional to 1,652.52, 2,275.47 and 1,616.07

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Solution

The fourth proportional to 1,652.52, 2,275.47 and 1,616.07 is: 2,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.52 : 2,275.47 = 1,616.07 : x
  2. Step 2: Convert to fraction form
    1,652.52/2,275.47 = 1,616.07/x
  3. Step 3: Cross multiply
    1,652.52x = 2,275.47 × 1,616.07
  4. Step 4: Simplify right side
    1,652.52x = 3,677,318.80
  5. Step 5: Solve for x
    x = 3,677,318.80/1,652.52
  6. Step 6: Final answer
    x = 2,225.28

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