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Finding the Fourth Proportional to 2,368.98, 3,268.52 and 1,411.74

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Solution

The fourth proportional to 2,368.98, 3,268.52 and 1,411.74 is: 1,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.98 : 3,268.52 = 1,411.74 : x
  2. Step 2: Convert to fraction form
    2,368.98/3,268.52 = 1,411.74/x
  3. Step 3: Cross multiply
    2,368.98x = 3,268.52 × 1,411.74
  4. Step 4: Simplify right side
    2,368.98x = 4,614,300.42
  5. Step 5: Solve for x
    x = 4,614,300.42/2,368.98
  6. Step 6: Final answer
    x = 1,947.80

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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.