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Finding the Fourth Proportional to 1,514, 2,258.74 and 1,368.20

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Solution

The fourth proportional to 1,514, 2,258.74 and 1,368.20 is: 2,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514 : 2,258.74 = 1,368.20 : x
  2. Step 2: Convert to fraction form
    1,514/2,258.74 = 1,368.20/x
  3. Step 3: Cross multiply
    1,514x = 2,258.74 × 1,368.20
  4. Step 4: Simplify right side
    1,514x = 3,090,408.07
  5. Step 5: Solve for x
    x = 3,090,408.07/1,514
  6. Step 6: Final answer
    x = 2,041.22

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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.