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Finding the Fourth Proportional to 2,391.76, 3,583.38 and 2,041.52

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Solution

The fourth proportional to 2,391.76, 3,583.38 and 2,041.52 is: 3,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.76 : 3,583.38 = 2,041.52 : x
  2. Step 2: Convert to fraction form
    2,391.76/3,583.38 = 2,041.52/x
  3. Step 3: Cross multiply
    2,391.76x = 3,583.38 × 2,041.52
  4. Step 4: Simplify right side
    2,391.76x = 7,315,541.94
  5. Step 5: Solve for x
    x = 7,315,541.94/2,391.76
  6. Step 6: Final answer
    x = 3,058.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.