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Finding the Fourth Proportional to 2,035.90, 3,051.60 and 802.90

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Solution

The fourth proportional to 2,035.90, 3,051.60 and 802.90 is: 1,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.90 : 3,051.60 = 802.90 : x
  2. Step 2: Convert to fraction form
    2,035.90/3,051.60 = 802.90/x
  3. Step 3: Cross multiply
    2,035.90x = 3,051.60 × 802.90
  4. Step 4: Simplify right side
    2,035.90x = 2,450,129.64
  5. Step 5: Solve for x
    x = 2,450,129.64/2,035.90
  6. Step 6: Final answer
    x = 1,203.46

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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.