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Finding the Fourth Proportional to 1,472.25, 2,017.01 and 1,416.90

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Solution

The fourth proportional to 1,472.25, 2,017.01 and 1,416.90 is: 1,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.25 : 2,017.01 = 1,416.90 : x
  2. Step 2: Convert to fraction form
    1,472.25/2,017.01 = 1,416.90/x
  3. Step 3: Cross multiply
    1,472.25x = 2,017.01 × 1,416.90
  4. Step 4: Simplify right side
    1,472.25x = 2,857,894.38
  5. Step 5: Solve for x
    x = 2,857,894.38/1,472.25
  6. Step 6: Final answer
    x = 1,941.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.