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Finding the Fourth Proportional to 1,924.70, 2,656.40 and 1,139.00

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Solution

The fourth proportional to 1,924.70, 2,656.40 and 1,139.00 is: 1,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.70 : 2,656.40 = 1,139.00 : x
  2. Step 2: Convert to fraction form
    1,924.70/2,656.40 = 1,139.00/x
  3. Step 3: Cross multiply
    1,924.70x = 2,656.40 × 1,139.00
  4. Step 4: Simplify right side
    1,924.70x = 3,025,620.62
  5. Step 5: Solve for x
    x = 3,025,620.62/1,924.70
  6. Step 6: Final answer
    x = 1,572.00

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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.