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Finding the Fourth Proportional to 1,759.86, 2,641.95 and 1,113.30

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Solution

The fourth proportional to 1,759.86, 2,641.95 and 1,113.30 is: 1,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.86 : 2,641.95 = 1,113.30 : x
  2. Step 2: Convert to fraction form
    1,759.86/2,641.95 = 1,113.30/x
  3. Step 3: Cross multiply
    1,759.86x = 2,641.95 × 1,113.30
  4. Step 4: Simplify right side
    1,759.86x = 2,941,282.94
  5. Step 5: Solve for x
    x = 2,941,282.94/1,759.86
  6. Step 6: Final answer
    x = 1,671.32

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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.