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Finding the Fourth Proportional to 2,113.57, 2,915.31 and 1,484.13

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Solution

The fourth proportional to 2,113.57, 2,915.31 and 1,484.13 is: 2,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.57 : 2,915.31 = 1,484.13 : x
  2. Step 2: Convert to fraction form
    2,113.57/2,915.31 = 1,484.13/x
  3. Step 3: Cross multiply
    2,113.57x = 2,915.31 × 1,484.13
  4. Step 4: Simplify right side
    2,113.57x = 4,326,699.03
  5. Step 5: Solve for x
    x = 4,326,699.03/2,113.57
  6. Step 6: Final answer
    x = 2,047.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.