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Finding the Fourth Proportional to 2,068.35, 3,101.55 and 802.50

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Solution

The fourth proportional to 2,068.35, 3,101.55 and 802.50 is: 1,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.35 : 3,101.55 = 802.50 : x
  2. Step 2: Convert to fraction form
    2,068.35/3,101.55 = 802.50/x
  3. Step 3: Cross multiply
    2,068.35x = 3,101.55 × 802.50
  4. Step 4: Simplify right side
    2,068.35x = 2,488,978.37
  5. Step 5: Solve for x
    x = 2,488,978.37/2,068.35
  6. Step 6: Final answer
    x = 1,203.36

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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.