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Finding the Fourth Proportional to 1,208.52, 1,802.61 and 1,172.07

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Solution

The fourth proportional to 1,208.52, 1,802.61 and 1,172.07 is: 1,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.52 : 1,802.61 = 1,172.07 : x
  2. Step 2: Convert to fraction form
    1,208.52/1,802.61 = 1,172.07/x
  3. Step 3: Cross multiply
    1,208.52x = 1,802.61 × 1,172.07
  4. Step 4: Simplify right side
    1,208.52x = 2,112,785.10
  5. Step 5: Solve for x
    x = 2,112,785.10/1,208.52
  6. Step 6: Final answer
    x = 1,748.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.