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Finding the Fourth Proportional to 1,751.95, 2,417.69 and 966.00

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Solution

The fourth proportional to 1,751.95, 2,417.69 and 966.00 is: 1,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.95 : 2,417.69 = 966.00 : x
  2. Step 2: Convert to fraction form
    1,751.95/2,417.69 = 966.00/x
  3. Step 3: Cross multiply
    1,751.95x = 2,417.69 × 966.00
  4. Step 4: Simplify right side
    1,751.95x = 2,335,474.64
  5. Step 5: Solve for x
    x = 2,335,474.64/1,751.95
  6. Step 6: Final answer
    x = 1,333.07

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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.