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Finding the Fourth Proportional to 1,774.36, 2,449.02 and 1,152.28

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Solution

The fourth proportional to 1,774.36, 2,449.02 and 1,152.28 is: 1,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.36 : 2,449.02 = 1,152.28 : x
  2. Step 2: Convert to fraction form
    1,774.36/2,449.02 = 1,152.28/x
  3. Step 3: Cross multiply
    1,774.36x = 2,449.02 × 1,152.28
  4. Step 4: Simplify right side
    1,774.36x = 2,821,956.77
  5. Step 5: Solve for x
    x = 2,821,956.77/1,774.36
  6. Step 6: Final answer
    x = 1,590.41

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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.