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Finding the Fourth Proportional to 2,363.18, 3,544.93 and 802.55

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Solution

The fourth proportional to 2,363.18, 3,544.93 and 802.55 is: 1,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.18 : 3,544.93 = 802.55 : x
  2. Step 2: Convert to fraction form
    2,363.18/3,544.93 = 802.55/x
  3. Step 3: Cross multiply
    2,363.18x = 3,544.93 × 802.55
  4. Step 4: Simplify right side
    2,363.18x = 2,844,966.85
  5. Step 5: Solve for x
    x = 2,844,966.85/2,363.18
  6. Step 6: Final answer
    x = 1,203.87

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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.