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Finding the Fourth Proportional to 1,742.07, 2,613.33 and 646.45

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Solution

The fourth proportional to 1,742.07, 2,613.33 and 646.45 is: 969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.07 : 2,613.33 = 646.45 : x
  2. Step 2: Convert to fraction form
    1,742.07/2,613.33 = 646.45/x
  3. Step 3: Cross multiply
    1,742.07x = 2,613.33 × 646.45
  4. Step 4: Simplify right side
    1,742.07x = 1,689,380.65
  5. Step 5: Solve for x
    x = 1,689,380.65/1,742.07
  6. Step 6: Final answer
    x = 969.75

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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.