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Finding the Fourth Proportional to 2,329.60, 3,495.12 and 1,030.88

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Solution

The fourth proportional to 2,329.60, 3,495.12 and 1,030.88 is: 1,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.60 : 3,495.12 = 1,030.88 : x
  2. Step 2: Convert to fraction form
    2,329.60/3,495.12 = 1,030.88/x
  3. Step 3: Cross multiply
    2,329.60x = 3,495.12 × 1,030.88
  4. Step 4: Simplify right side
    2,329.60x = 3,603,049.31
  5. Step 5: Solve for x
    x = 3,603,049.31/2,329.60
  6. Step 6: Final answer
    x = 1,546.64

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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.