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Finding the Fourth Proportional to 2,035.06, 3,051.24 and 802.60

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Solution

The fourth proportional to 2,035.06, 3,051.24 and 802.60 is: 1,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.06 : 3,051.24 = 802.60 : x
  2. Step 2: Convert to fraction form
    2,035.06/3,051.24 = 802.60/x
  3. Step 3: Cross multiply
    2,035.06x = 3,051.24 × 802.60
  4. Step 4: Simplify right side
    2,035.06x = 2,448,925.22
  5. Step 5: Solve for x
    x = 2,448,925.22/2,035.06
  6. Step 6: Final answer
    x = 1,203.37

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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.