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Finding the Fourth Proportional to 1,743.79, 2,404.06 and 1,316.55

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Solution

The fourth proportional to 1,743.79, 2,404.06 and 1,316.55 is: 1,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.79 : 2,404.06 = 1,316.55 : x
  2. Step 2: Convert to fraction form
    1,743.79/2,404.06 = 1,316.55/x
  3. Step 3: Cross multiply
    1,743.79x = 2,404.06 × 1,316.55
  4. Step 4: Simplify right side
    1,743.79x = 3,165,065.19
  5. Step 5: Solve for x
    x = 3,165,065.19/1,743.79
  6. Step 6: Final answer
    x = 1,815.05

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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.