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Finding the Fourth Proportional to 4,312.40, 6,470.19 and 1,849.14

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Solution

The fourth proportional to 4,312.40, 6,470.19 and 1,849.14 is: 2,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.40 : 6,470.19 = 1,849.14 : x
  2. Step 2: Convert to fraction form
    4,312.40/6,470.19 = 1,849.14/x
  3. Step 3: Cross multiply
    4,312.40x = 6,470.19 × 1,849.14
  4. Step 4: Simplify right side
    4,312.40x = 11,964,287.14
  5. Step 5: Solve for x
    x = 11,964,287.14/4,312.40
  6. Step 6: Final answer
    x = 2,774.40

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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.