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Finding the Fourth Proportional to 2,565.47, 3,848.73 and 810.93

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Solution

The fourth proportional to 2,565.47, 3,848.73 and 810.93 is: 1,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.47 : 3,848.73 = 810.93 : x
  2. Step 2: Convert to fraction form
    2,565.47/3,848.73 = 810.93/x
  3. Step 3: Cross multiply
    2,565.47x = 3,848.73 × 810.93
  4. Step 4: Simplify right side
    2,565.47x = 3,121,050.62
  5. Step 5: Solve for x
    x = 3,121,050.62/2,565.47
  6. Step 6: Final answer
    x = 1,216.56

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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.