Home / 2,565.04-3,849-1,026.16

Finding the Fourth Proportional to 2,565.04, 3,849 and 1,026.16

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Solution

The fourth proportional to 2,565.04, 3,849 and 1,026.16 is: 1,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.04 : 3,849 = 1,026.16 : x
  2. Step 2: Convert to fraction form
    2,565.04/3,849 = 1,026.16/x
  3. Step 3: Cross multiply
    2,565.04x = 3,849 × 1,026.16
  4. Step 4: Simplify right side
    2,565.04x = 3,949,689.84
  5. Step 5: Solve for x
    x = 3,949,689.84/2,565.04
  6. Step 6: Final answer
    x = 1,539.82

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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.