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Finding the Fourth Proportional to 1,223.40, 1,844.96 and 1,207.02

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Solution

The fourth proportional to 1,223.40, 1,844.96 and 1,207.02 is: 1,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.40 : 1,844.96 = 1,207.02 : x
  2. Step 2: Convert to fraction form
    1,223.40/1,844.96 = 1,207.02/x
  3. Step 3: Cross multiply
    1,223.40x = 1,844.96 × 1,207.02
  4. Step 4: Simplify right side
    1,223.40x = 2,226,897.58
  5. Step 5: Solve for x
    x = 2,226,897.58/1,223.40
  6. Step 6: Final answer
    x = 1,820.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.