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Finding the Fourth Proportional to 2,643.97, 3,966.31 and 977.87

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Solution

The fourth proportional to 2,643.97, 3,966.31 and 977.87 is: 1,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.97 : 3,966.31 = 977.87 : x
  2. Step 2: Convert to fraction form
    2,643.97/3,966.31 = 977.87/x
  3. Step 3: Cross multiply
    2,643.97x = 3,966.31 × 977.87
  4. Step 4: Simplify right side
    2,643.97x = 3,878,526.32
  5. Step 5: Solve for x
    x = 3,878,526.32/2,643.97
  6. Step 6: Final answer
    x = 1,466.93

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1.5x scale

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.