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Finding the Fourth Proportional to 2,341.06, 3,509.42 and 881.18

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Solution

The fourth proportional to 2,341.06, 3,509.42 and 881.18 is: 1,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.06 : 3,509.42 = 881.18 : x
  2. Step 2: Convert to fraction form
    2,341.06/3,509.42 = 881.18/x
  3. Step 3: Cross multiply
    2,341.06x = 3,509.42 × 881.18
  4. Step 4: Simplify right side
    2,341.06x = 3,092,430.72
  5. Step 5: Solve for x
    x = 3,092,430.72/2,341.06
  6. Step 6: Final answer
    x = 1,320.95

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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.