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Finding the Fourth Proportional to 1,641.95, 2,265.85 and 895.93

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Solution

The fourth proportional to 1,641.95, 2,265.85 and 895.93 is: 1,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.95 : 2,265.85 = 895.93 : x
  2. Step 2: Convert to fraction form
    1,641.95/2,265.85 = 895.93/x
  3. Step 3: Cross multiply
    1,641.95x = 2,265.85 × 895.93
  4. Step 4: Simplify right side
    1,641.95x = 2,030,038.45
  5. Step 5: Solve for x
    x = 2,030,038.45/1,641.95
  6. Step 6: Final answer
    x = 1,236.36

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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.