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Finding the Fourth Proportional to 1,753.76, 2,417.82 and 1,504

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Solution

The fourth proportional to 1,753.76, 2,417.82 and 1,504 is: 2,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.76 : 2,417.82 = 1,504 : x
  2. Step 2: Convert to fraction form
    1,753.76/2,417.82 = 1,504/x
  3. Step 3: Cross multiply
    1,753.76x = 2,417.82 × 1,504
  4. Step 4: Simplify right side
    1,753.76x = 3,636,401.28
  5. Step 5: Solve for x
    x = 3,636,401.28/1,753.76
  6. Step 6: Final answer
    x = 2,073.49

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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.