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Finding the Fourth Proportional to 2,971.32, 4,456.95 and 780.01

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Solution

The fourth proportional to 2,971.32, 4,456.95 and 780.01 is: 1,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.32 : 4,456.95 = 780.01 : x
  2. Step 2: Convert to fraction form
    2,971.32/4,456.95 = 780.01/x
  3. Step 3: Cross multiply
    2,971.32x = 4,456.95 × 780.01
  4. Step 4: Simplify right side
    2,971.32x = 3,476,465.57
  5. Step 5: Solve for x
    x = 3,476,465.57/2,971.32
  6. Step 6: Final answer
    x = 1,170.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.