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Finding the Fourth Proportional to 1,308.32, 1,959.02 and 1,047.10

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Solution

The fourth proportional to 1,308.32, 1,959.02 and 1,047.10 is: 1,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.32 : 1,959.02 = 1,047.10 : x
  2. Step 2: Convert to fraction form
    1,308.32/1,959.02 = 1,047.10/x
  3. Step 3: Cross multiply
    1,308.32x = 1,959.02 × 1,047.10
  4. Step 4: Simplify right side
    1,308.32x = 2,051,289.84
  5. Step 5: Solve for x
    x = 2,051,289.84/1,308.32
  6. Step 6: Final answer
    x = 1,567.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.