Home / 1,540.16-2,307.92-1,026.08

Finding the Fourth Proportional to 1,540.16, 2,307.92 and 1,026.08

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Solution

The fourth proportional to 1,540.16, 2,307.92 and 1,026.08 is: 1,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.16 : 2,307.92 = 1,026.08 : x
  2. Step 2: Convert to fraction form
    1,540.16/2,307.92 = 1,026.08/x
  3. Step 3: Cross multiply
    1,540.16x = 2,307.92 × 1,026.08
  4. Step 4: Simplify right side
    1,540.16x = 2,368,110.55
  5. Step 5: Solve for x
    x = 2,368,110.55/1,540.16
  6. Step 6: Final answer
    x = 1,537.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.