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Finding the Fourth Proportional to 2,391.61, 3,588.10 and 1,004.24

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Solution

The fourth proportional to 2,391.61, 3,588.10 and 1,004.24 is: 1,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.61 : 3,588.10 = 1,004.24 : x
  2. Step 2: Convert to fraction form
    2,391.61/3,588.10 = 1,004.24/x
  3. Step 3: Cross multiply
    2,391.61x = 3,588.10 × 1,004.24
  4. Step 4: Simplify right side
    2,391.61x = 3,603,301.13
  5. Step 5: Solve for x
    x = 3,603,301.13/2,391.61
  6. Step 6: Final answer
    x = 1,506.64

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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.