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Finding the Fourth Proportional to 1,870.25, 2,580.83 and 1,030.78

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Solution

The fourth proportional to 1,870.25, 2,580.83 and 1,030.78 is: 1,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.25 : 2,580.83 = 1,030.78 : x
  2. Step 2: Convert to fraction form
    1,870.25/2,580.83 = 1,030.78/x
  3. Step 3: Cross multiply
    1,870.25x = 2,580.83 × 1,030.78
  4. Step 4: Simplify right side
    1,870.25x = 2,660,269.88
  5. Step 5: Solve for x
    x = 2,660,269.88/1,870.25
  6. Step 6: Final answer
    x = 1,422.42

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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.