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Finding the Fourth Proportional to 2,907.65, 4,012.60 and 1,648.68

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Solution

The fourth proportional to 2,907.65, 4,012.60 and 1,648.68 is: 2,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.65 : 4,012.60 = 1,648.68 : x
  2. Step 2: Convert to fraction form
    2,907.65/4,012.60 = 1,648.68/x
  3. Step 3: Cross multiply
    2,907.65x = 4,012.60 × 1,648.68
  4. Step 4: Simplify right side
    2,907.65x = 6,615,499.86
  5. Step 5: Solve for x
    x = 6,615,499.86/2,907.65
  6. Step 6: Final answer
    x = 2,275.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.