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Finding the Fourth Proportional to 1,411.84, 1,948.80 and 997.12

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Solution

The fourth proportional to 1,411.84, 1,948.80 and 997.12 is: 1,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.84 : 1,948.80 = 997.12 : x
  2. Step 2: Convert to fraction form
    1,411.84/1,948.80 = 997.12/x
  3. Step 3: Cross multiply
    1,411.84x = 1,948.80 × 997.12
  4. Step 4: Simplify right side
    1,411.84x = 1,943,187.46
  5. Step 5: Solve for x
    x = 1,943,187.46/1,411.84
  6. Step 6: Final answer
    x = 1,376.35

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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.