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Finding the Fourth Proportional to 3,114.52, 4,673.40 and 1,267.00

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Solution

The fourth proportional to 3,114.52, 4,673.40 and 1,267.00 is: 1,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.52 : 4,673.40 = 1,267.00 : x
  2. Step 2: Convert to fraction form
    3,114.52/4,673.40 = 1,267.00/x
  3. Step 3: Cross multiply
    3,114.52x = 4,673.40 × 1,267.00
  4. Step 4: Simplify right side
    3,114.52x = 5,921,181.37
  5. Step 5: Solve for x
    x = 5,921,181.37/3,114.52
  6. Step 6: Final answer
    x = 1,901.16

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