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Finding the Fourth Proportional to 2,376.39, 3,565.05 and 915.55

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Solution

The fourth proportional to 2,376.39, 3,565.05 and 915.55 is: 1,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.39 : 3,565.05 = 915.55 : x
  2. Step 2: Convert to fraction form
    2,376.39/3,565.05 = 915.55/x
  3. Step 3: Cross multiply
    2,376.39x = 3,565.05 × 915.55
  4. Step 4: Simplify right side
    2,376.39x = 3,263,981.53
  5. Step 5: Solve for x
    x = 3,263,981.53/2,376.39
  6. Step 6: Final answer
    x = 1,373.51

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Why These Related Problems?

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