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Finding the Fourth Proportional to 1,364.06, 1,881.68 and 1,031.90

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Solution

The fourth proportional to 1,364.06, 1,881.68 and 1,031.90 is: 1,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.06 : 1,881.68 = 1,031.90 : x
  2. Step 2: Convert to fraction form
    1,364.06/1,881.68 = 1,031.90/x
  3. Step 3: Cross multiply
    1,364.06x = 1,881.68 × 1,031.90
  4. Step 4: Simplify right side
    1,364.06x = 1,941,705.59
  5. Step 5: Solve for x
    x = 1,941,705.59/1,364.06
  6. Step 6: Final answer
    x = 1,423.48

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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.