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Finding the Fourth Proportional to 2,307.66, 3,184.58 and 1,259.72

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Solution

The fourth proportional to 2,307.66, 3,184.58 and 1,259.72 is: 1,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.66 : 3,184.58 = 1,259.72 : x
  2. Step 2: Convert to fraction form
    2,307.66/3,184.58 = 1,259.72/x
  3. Step 3: Cross multiply
    2,307.66x = 3,184.58 × 1,259.72
  4. Step 4: Simplify right side
    2,307.66x = 4,011,678.29
  5. Step 5: Solve for x
    x = 4,011,678.29/2,307.66
  6. Step 6: Final answer
    x = 1,738.42

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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.