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Finding the Fourth Proportional to 1,456.16, 2,174.16 and 1,417.28

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Solution

The fourth proportional to 1,456.16, 2,174.16 and 1,417.28 is: 2,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.16 : 2,174.16 = 1,417.28 : x
  2. Step 2: Convert to fraction form
    1,456.16/2,174.16 = 1,417.28/x
  3. Step 3: Cross multiply
    1,456.16x = 2,174.16 × 1,417.28
  4. Step 4: Simplify right side
    1,456.16x = 3,081,393.48
  5. Step 5: Solve for x
    x = 3,081,393.48/1,456.16
  6. Step 6: Final answer
    x = 2,116.11

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