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Finding the Fourth Proportional to 1,675.84, 2,312.46 and 929.62

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Solution

The fourth proportional to 1,675.84, 2,312.46 and 929.62 is: 1,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.84 : 2,312.46 = 929.62 : x
  2. Step 2: Convert to fraction form
    1,675.84/2,312.46 = 929.62/x
  3. Step 3: Cross multiply
    1,675.84x = 2,312.46 × 929.62
  4. Step 4: Simplify right side
    1,675.84x = 2,149,702.84
  5. Step 5: Solve for x
    x = 2,149,702.84/1,675.84
  6. Step 6: Final answer
    x = 1,282.76

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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.