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Finding the Fourth Proportional to 1,900.17, 2,854.58 and 1,374.70

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Solution

The fourth proportional to 1,900.17, 2,854.58 and 1,374.70 is: 2,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.17 : 2,854.58 = 1,374.70 : x
  2. Step 2: Convert to fraction form
    1,900.17/2,854.58 = 1,374.70/x
  3. Step 3: Cross multiply
    1,900.17x = 2,854.58 × 1,374.70
  4. Step 4: Simplify right side
    1,900.17x = 3,924,182.27
  5. Step 5: Solve for x
    x = 3,924,182.27/1,900.17
  6. Step 6: Final answer
    x = 2,065.17

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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.