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Finding the Fourth Proportional to 2,925.50, 4,388.45 and 977.45

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Solution

The fourth proportional to 2,925.50, 4,388.45 and 977.45 is: 1,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.50 : 4,388.45 = 977.45 : x
  2. Step 2: Convert to fraction form
    2,925.50/4,388.45 = 977.45/x
  3. Step 3: Cross multiply
    2,925.50x = 4,388.45 × 977.45
  4. Step 4: Simplify right side
    2,925.50x = 4,289,463.62
  5. Step 5: Solve for x
    x = 4,289,463.62/2,925.50
  6. Step 6: Final answer
    x = 1,466.24

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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.