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Finding the Fourth Proportional to 2,652.88, 3,661.16 and 1,534.04

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Solution

The fourth proportional to 2,652.88, 3,661.16 and 1,534.04 is: 2,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.88 : 3,661.16 = 1,534.04 : x
  2. Step 2: Convert to fraction form
    2,652.88/3,661.16 = 1,534.04/x
  3. Step 3: Cross multiply
    2,652.88x = 3,661.16 × 1,534.04
  4. Step 4: Simplify right side
    2,652.88x = 5,616,365.89
  5. Step 5: Solve for x
    x = 5,616,365.89/2,652.88
  6. Step 6: Final answer
    x = 2,117.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.