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Finding the Fourth Proportional to 1,751.99, 2,417.74 and 966.02

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Solution

The fourth proportional to 1,751.99, 2,417.74 and 966.02 is: 1,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.99 : 2,417.74 = 966.02 : x
  2. Step 2: Convert to fraction form
    1,751.99/2,417.74 = 966.02/x
  3. Step 3: Cross multiply
    1,751.99x = 2,417.74 × 966.02
  4. Step 4: Simplify right side
    1,751.99x = 2,335,570.69
  5. Step 5: Solve for x
    x = 2,335,570.69/1,751.99
  6. Step 6: Final answer
    x = 1,333.10

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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.