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Finding the Fourth Proportional to 1,741.47, 2,612.63 and 587.31

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Solution

The fourth proportional to 1,741.47, 2,612.63 and 587.31 is: 881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.47 : 2,612.63 = 587.31 : x
  2. Step 2: Convert to fraction form
    1,741.47/2,612.63 = 587.31/x
  3. Step 3: Cross multiply
    1,741.47x = 2,612.63 × 587.31
  4. Step 4: Simplify right side
    1,741.47x = 1,534,420.79
  5. Step 5: Solve for x
    x = 1,534,420.79/1,741.47
  6. Step 6: Final answer
    x = 881.11

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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.