Home / 2,307.44-3,182.84-1,509.48

Finding the Fourth Proportional to 2,307.44, 3,182.84 and 1,509.48

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Solution

The fourth proportional to 2,307.44, 3,182.84 and 1,509.48 is: 2,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.44 : 3,182.84 = 1,509.48 : x
  2. Step 2: Convert to fraction form
    2,307.44/3,182.84 = 1,509.48/x
  3. Step 3: Cross multiply
    2,307.44x = 3,182.84 × 1,509.48
  4. Step 4: Simplify right side
    2,307.44x = 4,804,433.32
  5. Step 5: Solve for x
    x = 4,804,433.32/2,307.44
  6. Step 6: Final answer
    x = 2,082.15

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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.