Home / 2,038.32-2,813.04-1,154.16

Finding the Fourth Proportional to 2,038.32, 2,813.04 and 1,154.16

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Solution

The fourth proportional to 2,038.32, 2,813.04 and 1,154.16 is: 1,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.32 : 2,813.04 = 1,154.16 : x
  2. Step 2: Convert to fraction form
    2,038.32/2,813.04 = 1,154.16/x
  3. Step 3: Cross multiply
    2,038.32x = 2,813.04 × 1,154.16
  4. Step 4: Simplify right side
    2,038.32x = 3,246,698.25
  5. Step 5: Solve for x
    x = 3,246,698.25/2,038.32
  6. Step 6: Final answer
    x = 1,592.83

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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.