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Finding the Fourth Proportional to 1,718.26, 2,370.80 and 1,159.76

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Solution

The fourth proportional to 1,718.26, 2,370.80 and 1,159.76 is: 1,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.26 : 2,370.80 = 1,159.76 : x
  2. Step 2: Convert to fraction form
    1,718.26/2,370.80 = 1,159.76/x
  3. Step 3: Cross multiply
    1,718.26x = 2,370.80 × 1,159.76
  4. Step 4: Simplify right side
    1,718.26x = 2,749,553.21
  5. Step 5: Solve for x
    x = 2,749,553.21/1,718.26
  6. Step 6: Final answer
    x = 1,600.20

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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.