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Finding the Fourth Proportional to 1,929.32, 2,894.40 and 630.92

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Solution

The fourth proportional to 1,929.32, 2,894.40 and 630.92 is: 946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.32 : 2,894.40 = 630.92 : x
  2. Step 2: Convert to fraction form
    1,929.32/2,894.40 = 630.92/x
  3. Step 3: Cross multiply
    1,929.32x = 2,894.40 × 630.92
  4. Step 4: Simplify right side
    1,929.32x = 1,826,134.85
  5. Step 5: Solve for x
    x = 1,826,134.85/1,929.32
  6. Step 6: Final answer
    x = 946.52

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