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Finding the Fourth Proportional to 1,368.24, 1,886.29 and 1,031.99

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Solution

The fourth proportional to 1,368.24, 1,886.29 and 1,031.99 is: 1,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.24 : 1,886.29 = 1,031.99 : x
  2. Step 2: Convert to fraction form
    1,368.24/1,886.29 = 1,031.99/x
  3. Step 3: Cross multiply
    1,368.24x = 1,886.29 × 1,031.99
  4. Step 4: Simplify right side
    1,368.24x = 1,946,631.02
  5. Step 5: Solve for x
    x = 1,946,631.02/1,368.24
  6. Step 6: Final answer
    x = 1,422.72

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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.