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Finding the Fourth Proportional to 2,101.01, 3,151.49 and 802.17

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Solution

The fourth proportional to 2,101.01, 3,151.49 and 802.17 is: 1,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.01 : 3,151.49 = 802.17 : x
  2. Step 2: Convert to fraction form
    2,101.01/3,151.49 = 802.17/x
  3. Step 3: Cross multiply
    2,101.01x = 3,151.49 × 802.17
  4. Step 4: Simplify right side
    2,101.01x = 2,528,026.72
  5. Step 5: Solve for x
    x = 2,528,026.72/2,101.01
  6. Step 6: Final answer
    x = 1,203.25

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