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Finding the Fourth Proportional to 1,340.45, 2,010.68 and 353.19

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Solution

The fourth proportional to 1,340.45, 2,010.68 and 353.19 is: 529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.45 : 2,010.68 = 353.19 : x
  2. Step 2: Convert to fraction form
    1,340.45/2,010.68 = 353.19/x
  3. Step 3: Cross multiply
    1,340.45x = 2,010.68 × 353.19
  4. Step 4: Simplify right side
    1,340.45x = 710,159.17
  5. Step 5: Solve for x
    x = 710,159.17/1,340.45
  6. Step 6: Final answer
    x = 529.79

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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.