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Finding the Fourth Proportional to 2,565.22, 3,848.37 and 921.70

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Solution

The fourth proportional to 2,565.22, 3,848.37 and 921.70 is: 1,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.22 : 3,848.37 = 921.70 : x
  2. Step 2: Convert to fraction form
    2,565.22/3,848.37 = 921.70/x
  3. Step 3: Cross multiply
    2,565.22x = 3,848.37 × 921.70
  4. Step 4: Simplify right side
    2,565.22x = 3,547,042.63
  5. Step 5: Solve for x
    x = 3,547,042.63/2,565.22
  6. Step 6: Final answer
    x = 1,382.74

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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.