Home / 2,565.64-3,847.74-1,005.32

Finding the Fourth Proportional to 2,565.64, 3,847.74 and 1,005.32

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Solution

The fourth proportional to 2,565.64, 3,847.74 and 1,005.32 is: 1,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.64 : 3,847.74 = 1,005.32 : x
  2. Step 2: Convert to fraction form
    2,565.64/3,847.74 = 1,005.32/x
  3. Step 3: Cross multiply
    2,565.64x = 3,847.74 × 1,005.32
  4. Step 4: Simplify right side
    2,565.64x = 3,868,209.98
  5. Step 5: Solve for x
    x = 3,868,209.98/2,565.64
  6. Step 6: Final answer
    x = 1,507.70

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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.