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Finding the Fourth Proportional to 1,675.32, 2,507.67 and 942.72

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Solution

The fourth proportional to 1,675.32, 2,507.67 and 942.72 is: 1,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.32 : 2,507.67 = 942.72 : x
  2. Step 2: Convert to fraction form
    1,675.32/2,507.67 = 942.72/x
  3. Step 3: Cross multiply
    1,675.32x = 2,507.67 × 942.72
  4. Step 4: Simplify right side
    1,675.32x = 2,364,030.66
  5. Step 5: Solve for x
    x = 2,364,030.66/1,675.32
  6. Step 6: Final answer
    x = 1,411.09

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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.