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Finding the Fourth Proportional to 2,907.41, 4,012.14 and 1,648.58

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Solution

The fourth proportional to 2,907.41, 4,012.14 and 1,648.58 is: 2,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.41 : 4,012.14 = 1,648.58 : x
  2. Step 2: Convert to fraction form
    2,907.41/4,012.14 = 1,648.58/x
  3. Step 3: Cross multiply
    2,907.41x = 4,012.14 × 1,648.58
  4. Step 4: Simplify right side
    2,907.41x = 6,614,337.81
  5. Step 5: Solve for x
    x = 6,614,337.81/2,907.41
  6. Step 6: Final answer
    x = 2,274.99

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