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Finding the Fourth Proportional to 2,335.64, 3,501.88 and 929.12

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Solution

The fourth proportional to 2,335.64, 3,501.88 and 929.12 is: 1,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.64 : 3,501.88 = 929.12 : x
  2. Step 2: Convert to fraction form
    2,335.64/3,501.88 = 929.12/x
  3. Step 3: Cross multiply
    2,335.64x = 3,501.88 × 929.12
  4. Step 4: Simplify right side
    2,335.64x = 3,253,671.84
  5. Step 5: Solve for x
    x = 3,253,671.84/2,335.64
  6. Step 6: Final answer
    x = 1,393.06

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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.