Home / 2,307.24-3,184-1,259.28

Finding the Fourth Proportional to 2,307.24, 3,184 and 1,259.28

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Solution

The fourth proportional to 2,307.24, 3,184 and 1,259.28 is: 1,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.24 : 3,184 = 1,259.28 : x
  2. Step 2: Convert to fraction form
    2,307.24/3,184 = 1,259.28/x
  3. Step 3: Cross multiply
    2,307.24x = 3,184 × 1,259.28
  4. Step 4: Simplify right side
    2,307.24x = 4,009,547.52
  5. Step 5: Solve for x
    x = 4,009,547.52/2,307.24
  6. Step 6: Final answer
    x = 1,737.81

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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.