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Finding the Fourth Proportional to 3,065.90, 4,231.71 and 1,740.40

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Solution

The fourth proportional to 3,065.90, 4,231.71 and 1,740.40 is: 2,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.90 : 4,231.71 = 1,740.40 : x
  2. Step 2: Convert to fraction form
    3,065.90/4,231.71 = 1,740.40/x
  3. Step 3: Cross multiply
    3,065.90x = 4,231.71 × 1,740.40
  4. Step 4: Simplify right side
    3,065.90x = 7,364,868.08
  5. Step 5: Solve for x
    x = 7,364,868.08/3,065.90
  6. Step 6: Final answer
    x = 2,402.19

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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.