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Finding the Fourth Proportional to 2,565.97, 3,848.95 and 717.10

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Solution

The fourth proportional to 2,565.97, 3,848.95 and 717.10 is: 1,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.97 : 3,848.95 = 717.10 : x
  2. Step 2: Convert to fraction form
    2,565.97/3,848.95 = 717.10/x
  3. Step 3: Cross multiply
    2,565.97x = 3,848.95 × 717.10
  4. Step 4: Simplify right side
    2,565.97x = 2,760,069.10
  5. Step 5: Solve for x
    x = 2,760,069.10/2,565.97
  6. Step 6: Final answer
    x = 1,075.65

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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.