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Finding the Fourth Proportional to 3,064.47, 4,594.23 and 1,422.06

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Solution

The fourth proportional to 3,064.47, 4,594.23 and 1,422.06 is: 2,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.47 : 4,594.23 = 1,422.06 : x
  2. Step 2: Convert to fraction form
    3,064.47/4,594.23 = 1,422.06/x
  3. Step 3: Cross multiply
    3,064.47x = 4,594.23 × 1,422.06
  4. Step 4: Simplify right side
    3,064.47x = 6,533,270.71
  5. Step 5: Solve for x
    x = 6,533,270.71/3,064.47
  6. Step 6: Final answer
    x = 2,131.94

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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.