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Finding the Fourth Proportional to 2,957.50, 4,436.25 and 1,009.72

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Solution

The fourth proportional to 2,957.50, 4,436.25 and 1,009.72 is: 1,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.50 : 4,436.25 = 1,009.72 : x
  2. Step 2: Convert to fraction form
    2,957.50/4,436.25 = 1,009.72/x
  3. Step 3: Cross multiply
    2,957.50x = 4,436.25 × 1,009.72
  4. Step 4: Simplify right side
    2,957.50x = 4,479,370.35
  5. Step 5: Solve for x
    x = 4,479,370.35/2,957.50
  6. Step 6: Final answer
    x = 1,514.58

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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.