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Finding the Fourth Proportional to 1,466, 2,031.56 and 1,438.31

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Solution

The fourth proportional to 1,466, 2,031.56 and 1,438.31 is: 1,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466 : 2,031.56 = 1,438.31 : x
  2. Step 2: Convert to fraction form
    1,466/2,031.56 = 1,438.31/x
  3. Step 3: Cross multiply
    1,466x = 2,031.56 × 1,438.31
  4. Step 4: Simplify right side
    1,466x = 2,922,013.06
  5. Step 5: Solve for x
    x = 2,922,013.06/1,466
  6. Step 6: Final answer
    x = 1,993.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.