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Finding the Fourth Proportional to 2,907.54, 4,012.50 and 1,648.52

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Solution

The fourth proportional to 2,907.54, 4,012.50 and 1,648.52 is: 2,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.54 : 4,012.50 = 1,648.52 : x
  2. Step 2: Convert to fraction form
    2,907.54/4,012.50 = 1,648.52/x
  3. Step 3: Cross multiply
    2,907.54x = 4,012.50 × 1,648.52
  4. Step 4: Simplify right side
    2,907.54x = 6,614,686.50
  5. Step 5: Solve for x
    x = 6,614,686.50/2,907.54
  6. Step 6: Final answer
    x = 2,275.01

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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.