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Finding the Fourth Proportional to 3,105.60, 4,654.44 and 1,458.51

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Solution

The fourth proportional to 3,105.60, 4,654.44 and 1,458.51 is: 2,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.60 : 4,654.44 = 1,458.51 : x
  2. Step 2: Convert to fraction form
    3,105.60/4,654.44 = 1,458.51/x
  3. Step 3: Cross multiply
    3,105.60x = 4,654.44 × 1,458.51
  4. Step 4: Simplify right side
    3,105.60x = 6,788,547.28
  5. Step 5: Solve for x
    x = 6,788,547.28/3,105.60
  6. Step 6: Final answer
    x = 2,185.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.