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Finding the Fourth Proportional to 2,590.54, 3,885.36 and 741.26

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Solution

The fourth proportional to 2,590.54, 3,885.36 and 741.26 is: 1,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.54 : 3,885.36 = 741.26 : x
  2. Step 2: Convert to fraction form
    2,590.54/3,885.36 = 741.26/x
  3. Step 3: Cross multiply
    2,590.54x = 3,885.36 × 741.26
  4. Step 4: Simplify right side
    2,590.54x = 2,880,061.95
  5. Step 5: Solve for x
    x = 2,880,061.95/2,590.54
  6. Step 6: Final answer
    x = 1,111.76

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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.