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Finding the Fourth Proportional to 3,017.44, 4,526.74 and 1,043.00

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Solution

The fourth proportional to 3,017.44, 4,526.74 and 1,043.00 is: 1,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.44 : 4,526.74 = 1,043.00 : x
  2. Step 2: Convert to fraction form
    3,017.44/4,526.74 = 1,043.00/x
  3. Step 3: Cross multiply
    3,017.44x = 4,526.74 × 1,043.00
  4. Step 4: Simplify right side
    3,017.44x = 4,721,375.90
  5. Step 5: Solve for x
    x = 4,721,375.90/3,017.44
  6. Step 6: Final answer
    x = 1,564.70

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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.