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Finding the Fourth Proportional to 1,901.40, 2,851.74 and 926.88

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Solution

The fourth proportional to 1,901.40, 2,851.74 and 926.88 is: 1,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.40 : 2,851.74 = 926.88 : x
  2. Step 2: Convert to fraction form
    1,901.40/2,851.74 = 926.88/x
  3. Step 3: Cross multiply
    1,901.40x = 2,851.74 × 926.88
  4. Step 4: Simplify right side
    1,901.40x = 2,643,220.77
  5. Step 5: Solve for x
    x = 2,643,220.77/1,901.40
  6. Step 6: Final answer
    x = 1,390.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.