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Finding the Fourth Proportional to 3,057.98, 4,585.28 and 977.40

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Solution

The fourth proportional to 3,057.98, 4,585.28 and 977.40 is: 1,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.98 : 4,585.28 = 977.40 : x
  2. Step 2: Convert to fraction form
    3,057.98/4,585.28 = 977.40/x
  3. Step 3: Cross multiply
    3,057.98x = 4,585.28 × 977.40
  4. Step 4: Simplify right side
    3,057.98x = 4,481,647.79
  5. Step 5: Solve for x
    x = 4,481,647.79/3,057.98
  6. Step 6: Final answer
    x = 1,465.56

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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.