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Finding the Fourth Proportional to 2,648.84, 3,972.06 and 916.24

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Solution

The fourth proportional to 2,648.84, 3,972.06 and 916.24 is: 1,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.84 : 3,972.06 = 916.24 : x
  2. Step 2: Convert to fraction form
    2,648.84/3,972.06 = 916.24/x
  3. Step 3: Cross multiply
    2,648.84x = 3,972.06 × 916.24
  4. Step 4: Simplify right side
    2,648.84x = 3,639,360.25
  5. Step 5: Solve for x
    x = 3,639,360.25/2,648.84
  6. Step 6: Final answer
    x = 1,373.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.