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Finding the Fourth Proportional to 2,588.86, 3,883.35 and 740.14

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Solution

The fourth proportional to 2,588.86, 3,883.35 and 740.14 is: 1,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.86 : 3,883.35 = 740.14 : x
  2. Step 2: Convert to fraction form
    2,588.86/3,883.35 = 740.14/x
  3. Step 3: Cross multiply
    2,588.86x = 3,883.35 × 740.14
  4. Step 4: Simplify right side
    2,588.86x = 2,874,222.67
  5. Step 5: Solve for x
    x = 2,874,222.67/2,588.86
  6. Step 6: Final answer
    x = 1,110.23

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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.