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Finding the Fourth Proportional to 2,595.87, 3,894.95 and 1,363.00

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Solution

The fourth proportional to 2,595.87, 3,894.95 and 1,363.00 is: 2,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.87 : 3,894.95 = 1,363.00 : x
  2. Step 2: Convert to fraction form
    2,595.87/3,894.95 = 1,363.00/x
  3. Step 3: Cross multiply
    2,595.87x = 3,894.95 × 1,363.00
  4. Step 4: Simplify right side
    2,595.87x = 5,308,810.52
  5. Step 5: Solve for x
    x = 5,308,810.52/2,595.87
  6. Step 6: Final answer
    x = 2,045.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.