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Finding the Fourth Proportional to 2,648.72, 3,970.64 and 916.13

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Solution

The fourth proportional to 2,648.72, 3,970.64 and 916.13 is: 1,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.72 : 3,970.64 = 916.13 : x
  2. Step 2: Convert to fraction form
    2,648.72/3,970.64 = 916.13/x
  3. Step 3: Cross multiply
    2,648.72x = 3,970.64 × 916.13
  4. Step 4: Simplify right side
    2,648.72x = 3,637,597.99
  5. Step 5: Solve for x
    x = 3,637,597.99/2,648.72
  6. Step 6: Final answer
    x = 1,373.34

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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.