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Finding the Fourth Proportional to 1,357.20, 1,870.41 and 1,025.10

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Solution

The fourth proportional to 1,357.20, 1,870.41 and 1,025.10 is: 1,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.20 : 1,870.41 = 1,025.10 : x
  2. Step 2: Convert to fraction form
    1,357.20/1,870.41 = 1,025.10/x
  3. Step 3: Cross multiply
    1,357.20x = 1,870.41 × 1,025.10
  4. Step 4: Simplify right side
    1,357.20x = 1,917,357.29
  5. Step 5: Solve for x
    x = 1,917,357.29/1,357.20
  6. Step 6: Final answer
    x = 1,412.73

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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.