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Finding the Fourth Proportional to 1,713.84, 2,569.87 and 788.59

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Solution

The fourth proportional to 1,713.84, 2,569.87 and 788.59 is: 1,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.84 : 2,569.87 = 788.59 : x
  2. Step 2: Convert to fraction form
    1,713.84/2,569.87 = 788.59/x
  3. Step 3: Cross multiply
    1,713.84x = 2,569.87 × 788.59
  4. Step 4: Simplify right side
    1,713.84x = 2,026,573.78
  5. Step 5: Solve for x
    x = 2,026,573.78/1,713.84
  6. Step 6: Final answer
    x = 1,182.48

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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.