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Finding the Fourth Proportional to 2,565.42, 3,848.13 and 617.63

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Solution

The fourth proportional to 2,565.42, 3,848.13 and 617.63 is: 926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.42 : 3,848.13 = 617.63 : x
  2. Step 2: Convert to fraction form
    2,565.42/3,848.13 = 617.63/x
  3. Step 3: Cross multiply
    2,565.42x = 3,848.13 × 617.63
  4. Step 4: Simplify right side
    2,565.42x = 2,376,703.03
  5. Step 5: Solve for x
    x = 2,376,703.03/2,565.42
  6. Step 6: Final answer
    x = 926.44

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