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Finding the Fourth Proportional to 1,340.35, 2,010.62 and 1,047.23

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Solution

The fourth proportional to 1,340.35, 2,010.62 and 1,047.23 is: 1,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.35 : 2,010.62 = 1,047.23 : x
  2. Step 2: Convert to fraction form
    1,340.35/2,010.62 = 1,047.23/x
  3. Step 3: Cross multiply
    1,340.35x = 2,010.62 × 1,047.23
  4. Step 4: Simplify right side
    1,340.35x = 2,105,581.69
  5. Step 5: Solve for x
    x = 2,105,581.69/1,340.35
  6. Step 6: Final answer
    x = 1,570.92

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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.