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Finding the Fourth Proportional to 2,808.16, 3,875.12 and 1,565.92

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Solution

The fourth proportional to 2,808.16, 3,875.12 and 1,565.92 is: 2,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.16 : 3,875.12 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    2,808.16/3,875.12 = 1,565.92/x
  3. Step 3: Cross multiply
    2,808.16x = 3,875.12 × 1,565.92
  4. Step 4: Simplify right side
    2,808.16x = 6,068,127.91
  5. Step 5: Solve for x
    x = 6,068,127.91/2,808.16
  6. Step 6: Final answer
    x = 2,160.89

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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.