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Finding the Fourth Proportional to 2,114.74, 2,915.76 and 1,553.50

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Solution

The fourth proportional to 2,114.74, 2,915.76 and 1,553.50 is: 2,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.74 : 2,915.76 = 1,553.50 : x
  2. Step 2: Convert to fraction form
    2,114.74/2,915.76 = 1,553.50/x
  3. Step 3: Cross multiply
    2,114.74x = 2,915.76 × 1,553.50
  4. Step 4: Simplify right side
    2,114.74x = 4,529,633.16
  5. Step 5: Solve for x
    x = 4,529,633.16/2,114.74
  6. Step 6: Final answer
    x = 2,141.93

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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.