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Finding the Fourth Proportional to 1,977.44, 2,966.08 and 807.06

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Solution

The fourth proportional to 1,977.44, 2,966.08 and 807.06 is: 1,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.44 : 2,966.08 = 807.06 : x
  2. Step 2: Convert to fraction form
    1,977.44/2,966.08 = 807.06/x
  3. Step 3: Cross multiply
    1,977.44x = 2,966.08 × 807.06
  4. Step 4: Simplify right side
    1,977.44x = 2,393,804.52
  5. Step 5: Solve for x
    x = 2,393,804.52/1,977.44
  6. Step 6: Final answer
    x = 1,210.56

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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.