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Finding the Fourth Proportional to 2,970.89, 4,458.30 and 1,585.22

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Solution

The fourth proportional to 2,970.89, 4,458.30 and 1,585.22 is: 2,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.89 : 4,458.30 = 1,585.22 : x
  2. Step 2: Convert to fraction form
    2,970.89/4,458.30 = 1,585.22/x
  3. Step 3: Cross multiply
    2,970.89x = 4,458.30 × 1,585.22
  4. Step 4: Simplify right side
    2,970.89x = 7,067,386.33
  5. Step 5: Solve for x
    x = 7,067,386.33/2,970.89
  6. Step 6: Final answer
    x = 2,378.88

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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.