Home / 2,045.72-2,823.16-1,114.24

Finding the Fourth Proportional to 2,045.72, 2,823.16 and 1,114.24

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Solution

The fourth proportional to 2,045.72, 2,823.16 and 1,114.24 is: 1,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.72 : 2,823.16 = 1,114.24 : x
  2. Step 2: Convert to fraction form
    2,045.72/2,823.16 = 1,114.24/x
  3. Step 3: Cross multiply
    2,045.72x = 2,823.16 × 1,114.24
  4. Step 4: Simplify right side
    2,045.72x = 3,145,677.80
  5. Step 5: Solve for x
    x = 3,145,677.80/2,045.72
  6. Step 6: Final answer
    x = 1,537.69

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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.