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Finding the Fourth Proportional to 1,641.06, 2,264.68 and 895.02

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Solution

The fourth proportional to 1,641.06, 2,264.68 and 895.02 is: 1,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.06 : 2,264.68 = 895.02 : x
  2. Step 2: Convert to fraction form
    1,641.06/2,264.68 = 895.02/x
  3. Step 3: Cross multiply
    1,641.06x = 2,264.68 × 895.02
  4. Step 4: Simplify right side
    1,641.06x = 2,026,933.89
  5. Step 5: Solve for x
    x = 2,026,933.89/1,641.06
  6. Step 6: Final answer
    x = 1,235.14

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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.