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Finding the Fourth Proportional to 1,865.44, 2,574.40 and 1,037.44

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Solution

The fourth proportional to 1,865.44, 2,574.40 and 1,037.44 is: 1,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.44 : 2,574.40 = 1,037.44 : x
  2. Step 2: Convert to fraction form
    1,865.44/2,574.40 = 1,037.44/x
  3. Step 3: Cross multiply
    1,865.44x = 2,574.40 × 1,037.44
  4. Step 4: Simplify right side
    1,865.44x = 2,670,785.54
  5. Step 5: Solve for x
    x = 2,670,785.54/1,865.44
  6. Step 6: Final answer
    x = 1,431.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.