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Finding the Fourth Proportional to 1,746.48, 2,618.56 and 691.59

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Solution

The fourth proportional to 1,746.48, 2,618.56 and 691.59 is: 1,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.48 : 2,618.56 = 691.59 : x
  2. Step 2: Convert to fraction form
    1,746.48/2,618.56 = 691.59/x
  3. Step 3: Cross multiply
    1,746.48x = 2,618.56 × 691.59
  4. Step 4: Simplify right side
    1,746.48x = 1,810,976.46
  5. Step 5: Solve for x
    x = 1,810,976.46/1,746.48
  6. Step 6: Final answer
    x = 1,036.93

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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.