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Finding the Fourth Proportional to 2,377.16, 3,565.74 and 1,349

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Solution

The fourth proportional to 2,377.16, 3,565.74 and 1,349 is: 2,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.16 : 3,565.74 = 1,349 : x
  2. Step 2: Convert to fraction form
    2,377.16/3,565.74 = 1,349/x
  3. Step 3: Cross multiply
    2,377.16x = 3,565.74 × 1,349
  4. Step 4: Simplify right side
    2,377.16x = 4,810,183.26
  5. Step 5: Solve for x
    x = 4,810,183.26/2,377.16
  6. Step 6: Final answer
    x = 2,023.50

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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.