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Finding the Fourth Proportional to 2,590.31, 3,885.37 and 741.35

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Solution

The fourth proportional to 2,590.31, 3,885.37 and 741.35 is: 1,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.31 : 3,885.37 = 741.35 : x
  2. Step 2: Convert to fraction form
    2,590.31/3,885.37 = 741.35/x
  3. Step 3: Cross multiply
    2,590.31x = 3,885.37 × 741.35
  4. Step 4: Simplify right side
    2,590.31x = 2,880,426.91
  5. Step 5: Solve for x
    x = 2,880,426.91/2,590.31
  6. Step 6: Final answer
    x = 1,112.00

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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.