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Finding the Fourth Proportional to 3,070.34, 4,603.86 and 1,221.38

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Solution

The fourth proportional to 3,070.34, 4,603.86 and 1,221.38 is: 1,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.34 : 4,603.86 = 1,221.38 : x
  2. Step 2: Convert to fraction form
    3,070.34/4,603.86 = 1,221.38/x
  3. Step 3: Cross multiply
    3,070.34x = 4,603.86 × 1,221.38
  4. Step 4: Simplify right side
    3,070.34x = 5,623,062.53
  5. Step 5: Solve for x
    x = 5,623,062.53/3,070.34
  6. Step 6: Final answer
    x = 1,831.41

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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.