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Finding the Fourth Proportional to 2,307.41, 3,184.24 and 1,259.47

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Solution

The fourth proportional to 2,307.41, 3,184.24 and 1,259.47 is: 1,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.41 : 3,184.24 = 1,259.47 : x
  2. Step 2: Convert to fraction form
    2,307.41/3,184.24 = 1,259.47/x
  3. Step 3: Cross multiply
    2,307.41x = 3,184.24 × 1,259.47
  4. Step 4: Simplify right side
    2,307.41x = 4,010,454.75
  5. Step 5: Solve for x
    x = 4,010,454.75/2,307.41
  6. Step 6: Final answer
    x = 1,738.08

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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.