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Finding the Fourth Proportional to 1,865.60, 2,573.35 and 1,119.05

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Solution

The fourth proportional to 1,865.60, 2,573.35 and 1,119.05 is: 1,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.60 : 2,573.35 = 1,119.05 : x
  2. Step 2: Convert to fraction form
    1,865.60/2,573.35 = 1,119.05/x
  3. Step 3: Cross multiply
    1,865.60x = 2,573.35 × 1,119.05
  4. Step 4: Simplify right side
    1,865.60x = 2,879,691.65
  5. Step 5: Solve for x
    x = 2,879,691.65/1,865.60
  6. Step 6: Final answer
    x = 1,543.58

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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.