Home / 2,103.12-2,902.16-1,159.02

Finding the Fourth Proportional to 2,103.12, 2,902.16 and 1,159.02

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Solution

The fourth proportional to 2,103.12, 2,902.16 and 1,159.02 is: 1,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.12 : 2,902.16 = 1,159.02 : x
  2. Step 2: Convert to fraction form
    2,103.12/2,902.16 = 1,159.02/x
  3. Step 3: Cross multiply
    2,103.12x = 2,902.16 × 1,159.02
  4. Step 4: Simplify right side
    2,103.12x = 3,363,655.69
  5. Step 5: Solve for x
    x = 3,363,655.69/2,103.12
  6. Step 6: Final answer
    x = 1,599.36

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