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Finding the Fourth Proportional to 2,331.36, 3,497.40 and 870.48

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Solution

The fourth proportional to 2,331.36, 3,497.40 and 870.48 is: 1,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.36 : 3,497.40 = 870.48 : x
  2. Step 2: Convert to fraction form
    2,331.36/3,497.40 = 870.48/x
  3. Step 3: Cross multiply
    2,331.36x = 3,497.40 × 870.48
  4. Step 4: Simplify right side
    2,331.36x = 3,044,416.75
  5. Step 5: Solve for x
    x = 3,044,416.75/2,331.36
  6. Step 6: Final answer
    x = 1,305.85

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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.