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Finding the Fourth Proportional to 1,729.72, 2,386.74 and 1,031.32

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Solution

The fourth proportional to 1,729.72, 2,386.74 and 1,031.32 is: 1,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.72 : 2,386.74 = 1,031.32 : x
  2. Step 2: Convert to fraction form
    1,729.72/2,386.74 = 1,031.32/x
  3. Step 3: Cross multiply
    1,729.72x = 2,386.74 × 1,031.32
  4. Step 4: Simplify right side
    1,729.72x = 2,461,492.70
  5. Step 5: Solve for x
    x = 2,461,492.70/1,729.72
  6. Step 6: Final answer
    x = 1,423.06

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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.