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Finding the Fourth Proportional to 2,035.76, 3,051.84 and 802.52

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Solution

The fourth proportional to 2,035.76, 3,051.84 and 802.52 is: 1,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.76 : 3,051.84 = 802.52 : x
  2. Step 2: Convert to fraction form
    2,035.76/3,051.84 = 802.52/x
  3. Step 3: Cross multiply
    2,035.76x = 3,051.84 × 802.52
  4. Step 4: Simplify right side
    2,035.76x = 2,449,162.64
  5. Step 5: Solve for x
    x = 2,449,162.64/2,035.76
  6. Step 6: Final answer
    x = 1,203.07

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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.