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Finding the Fourth Proportional to 3,285.88, 4,929.63 and 977.38

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Solution

The fourth proportional to 3,285.88, 4,929.63 and 977.38 is: 1,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.88 : 4,929.63 = 977.38 : x
  2. Step 2: Convert to fraction form
    3,285.88/4,929.63 = 977.38/x
  3. Step 3: Cross multiply
    3,285.88x = 4,929.63 × 977.38
  4. Step 4: Simplify right side
    3,285.88x = 4,818,121.77
  5. Step 5: Solve for x
    x = 4,818,121.77/3,285.88
  6. Step 6: Final answer
    x = 1,466.31

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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.