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Finding the Fourth Proportional to 2,109.48, 2,907.18 and 1,642.92

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Solution

The fourth proportional to 2,109.48, 2,907.18 and 1,642.92 is: 2,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.48 : 2,907.18 = 1,642.92 : x
  2. Step 2: Convert to fraction form
    2,109.48/2,907.18 = 1,642.92/x
  3. Step 3: Cross multiply
    2,109.48x = 2,907.18 × 1,642.92
  4. Step 4: Simplify right side
    2,109.48x = 4,776,264.17
  5. Step 5: Solve for x
    x = 4,776,264.17/2,109.48
  6. Step 6: Final answer
    x = 2,264.19

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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.