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Finding the Fourth Proportional to 1,346.47, 1,853.91 and 1,223.45

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Solution

The fourth proportional to 1,346.47, 1,853.91 and 1,223.45 is: 1,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.47 : 1,853.91 = 1,223.45 : x
  2. Step 2: Convert to fraction form
    1,346.47/1,853.91 = 1,223.45/x
  3. Step 3: Cross multiply
    1,346.47x = 1,853.91 × 1,223.45
  4. Step 4: Simplify right side
    1,346.47x = 2,268,152.33
  5. Step 5: Solve for x
    x = 2,268,152.33/1,346.47
  6. Step 6: Final answer
    x = 1,684.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.