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Finding the Fourth Proportional to 1,652.47, 2,278.69 and 1,417.21

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Solution

The fourth proportional to 1,652.47, 2,278.69 and 1,417.21 is: 1,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.47 : 2,278.69 = 1,417.21 : x
  2. Step 2: Convert to fraction form
    1,652.47/2,278.69 = 1,417.21/x
  3. Step 3: Cross multiply
    1,652.47x = 2,278.69 × 1,417.21
  4. Step 4: Simplify right side
    1,652.47x = 3,229,382.25
  5. Step 5: Solve for x
    x = 3,229,382.25/1,652.47
  6. Step 6: Final answer
    x = 1,954.28

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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.