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Finding the Fourth Proportional to 1,751.98, 2,624.61 and 983.02

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Solution

The fourth proportional to 1,751.98, 2,624.61 and 983.02 is: 1,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.98 : 2,624.61 = 983.02 : x
  2. Step 2: Convert to fraction form
    1,751.98/2,624.61 = 983.02/x
  3. Step 3: Cross multiply
    1,751.98x = 2,624.61 × 983.02
  4. Step 4: Simplify right side
    1,751.98x = 2,580,044.12
  5. Step 5: Solve for x
    x = 2,580,044.12/1,751.98
  6. Step 6: Final answer
    x = 1,472.64

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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.