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Finding the Fourth Proportional to 2,904.80, 4,356.11 and 1,055.46

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Solution

The fourth proportional to 2,904.80, 4,356.11 and 1,055.46 is: 1,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.80 : 4,356.11 = 1,055.46 : x
  2. Step 2: Convert to fraction form
    2,904.80/4,356.11 = 1,055.46/x
  3. Step 3: Cross multiply
    2,904.80x = 4,356.11 × 1,055.46
  4. Step 4: Simplify right side
    2,904.80x = 4,597,702.50
  5. Step 5: Solve for x
    x = 4,597,702.50/2,904.80
  6. Step 6: Final answer
    x = 1,582.79

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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.