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Finding the Fourth Proportional to 2,307.57, 3,184.36 and 1,259.63

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Solution

The fourth proportional to 2,307.57, 3,184.36 and 1,259.63 is: 1,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.57 : 3,184.36 = 1,259.63 : x
  2. Step 2: Convert to fraction form
    2,307.57/3,184.36 = 1,259.63/x
  3. Step 3: Cross multiply
    2,307.57x = 3,184.36 × 1,259.63
  4. Step 4: Simplify right side
    2,307.57x = 4,011,120.20
  5. Step 5: Solve for x
    x = 4,011,120.20/2,307.57
  6. Step 6: Final answer
    x = 1,738.24

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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.