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Finding the Fourth Proportional to 1,869.38, 2,804.54 and 944.92

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Solution

The fourth proportional to 1,869.38, 2,804.54 and 944.92 is: 1,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.38 : 2,804.54 = 944.92 : x
  2. Step 2: Convert to fraction form
    1,869.38/2,804.54 = 944.92/x
  3. Step 3: Cross multiply
    1,869.38x = 2,804.54 × 944.92
  4. Step 4: Simplify right side
    1,869.38x = 2,650,064.72
  5. Step 5: Solve for x
    x = 2,650,064.72/1,869.38
  6. Step 6: Final answer
    x = 1,417.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.