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Finding the Fourth Proportional to 3,070.41, 4,606.52 and 1,314.47

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Solution

The fourth proportional to 3,070.41, 4,606.52 and 1,314.47 is: 1,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.41 : 4,606.52 = 1,314.47 : x
  2. Step 2: Convert to fraction form
    3,070.41/4,606.52 = 1,314.47/x
  3. Step 3: Cross multiply
    3,070.41x = 4,606.52 × 1,314.47
  4. Step 4: Simplify right side
    3,070.41x = 6,055,102.74
  5. Step 5: Solve for x
    x = 6,055,102.74/3,070.41
  6. Step 6: Final answer
    x = 1,972.08

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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.