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Finding the Fourth Proportional to 1,827.50, 2,521.96 and 1,041.70

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Solution

The fourth proportional to 1,827.50, 2,521.96 and 1,041.70 is: 1,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.50 : 2,521.96 = 1,041.70 : x
  2. Step 2: Convert to fraction form
    1,827.50/2,521.96 = 1,041.70/x
  3. Step 3: Cross multiply
    1,827.50x = 2,521.96 × 1,041.70
  4. Step 4: Simplify right side
    1,827.50x = 2,627,125.73
  5. Step 5: Solve for x
    x = 2,627,125.73/1,827.50
  6. Step 6: Final answer
    x = 1,437.55

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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.