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Finding the Fourth Proportional to 3,070.54, 4,603.56 and 1,426.24

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Solution

The fourth proportional to 3,070.54, 4,603.56 and 1,426.24 is: 2,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.54 : 4,603.56 = 1,426.24 : x
  2. Step 2: Convert to fraction form
    3,070.54/4,603.56 = 1,426.24/x
  3. Step 3: Cross multiply
    3,070.54x = 4,603.56 × 1,426.24
  4. Step 4: Simplify right side
    3,070.54x = 6,565,781.41
  5. Step 5: Solve for x
    x = 6,565,781.41/3,070.54
  6. Step 6: Final answer
    x = 2,138.31

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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.