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Finding the Fourth Proportional to 1,675.74, 2,312.56 and 929.78

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Solution

The fourth proportional to 1,675.74, 2,312.56 and 929.78 is: 1,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.74 : 2,312.56 = 929.78 : x
  2. Step 2: Convert to fraction form
    1,675.74/2,312.56 = 929.78/x
  3. Step 3: Cross multiply
    1,675.74x = 2,312.56 × 929.78
  4. Step 4: Simplify right side
    1,675.74x = 2,150,175.49
  5. Step 5: Solve for x
    x = 2,150,175.49/1,675.74
  6. Step 6: Final answer
    x = 1,283.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.