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Finding the Fourth Proportional to 2,565.75, 3,539.50 and 1,570.93

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Solution

The fourth proportional to 2,565.75, 3,539.50 and 1,570.93 is: 2,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.75 : 3,539.50 = 1,570.93 : x
  2. Step 2: Convert to fraction form
    2,565.75/3,539.50 = 1,570.93/x
  3. Step 3: Cross multiply
    2,565.75x = 3,539.50 × 1,570.93
  4. Step 4: Simplify right side
    2,565.75x = 5,560,306.74
  5. Step 5: Solve for x
    x = 5,560,306.74/2,565.75
  6. Step 6: Final answer
    x = 2,167.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.