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Finding the Fourth Proportional to 2,966.07, 4,448.01 and 1,017.75

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Solution

The fourth proportional to 2,966.07, 4,448.01 and 1,017.75 is: 1,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.07 : 4,448.01 = 1,017.75 : x
  2. Step 2: Convert to fraction form
    2,966.07/4,448.01 = 1,017.75/x
  3. Step 3: Cross multiply
    2,966.07x = 4,448.01 × 1,017.75
  4. Step 4: Simplify right side
    2,966.07x = 4,526,962.18
  5. Step 5: Solve for x
    x = 4,526,962.18/2,966.07
  6. Step 6: Final answer
    x = 1,526.25

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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.