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Finding the Fourth Proportional to 1,675.53, 2,312.25 and 929.51

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Solution

The fourth proportional to 1,675.53, 2,312.25 and 929.51 is: 1,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.53 : 2,312.25 = 929.51 : x
  2. Step 2: Convert to fraction form
    1,675.53/2,312.25 = 929.51/x
  3. Step 3: Cross multiply
    1,675.53x = 2,312.25 × 929.51
  4. Step 4: Simplify right side
    1,675.53x = 2,149,247.94
  5. Step 5: Solve for x
    x = 2,149,247.94/1,675.53
  6. Step 6: Final answer
    x = 1,282.73

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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.