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Finding the Fourth Proportional to 2,874.60, 4,312.58 and 926.82

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Solution

The fourth proportional to 2,874.60, 4,312.58 and 926.82 is: 1,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.60 : 4,312.58 = 926.82 : x
  2. Step 2: Convert to fraction form
    2,874.60/4,312.58 = 926.82/x
  3. Step 3: Cross multiply
    2,874.60x = 4,312.58 × 926.82
  4. Step 4: Simplify right side
    2,874.60x = 3,996,980.76
  5. Step 5: Solve for x
    x = 3,996,980.76/2,874.60
  6. Step 6: Final answer
    x = 1,390.45

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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.