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Finding the Fourth Proportional to 1,429.90, 1,971.37 and 1,031.22

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Solution

The fourth proportional to 1,429.90, 1,971.37 and 1,031.22 is: 1,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.90 : 1,971.37 = 1,031.22 : x
  2. Step 2: Convert to fraction form
    1,429.90/1,971.37 = 1,031.22/x
  3. Step 3: Cross multiply
    1,429.90x = 1,971.37 × 1,031.22
  4. Step 4: Simplify right side
    1,429.90x = 2,032,916.17
  5. Step 5: Solve for x
    x = 2,032,916.17/1,429.90
  6. Step 6: Final answer
    x = 1,421.72

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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.