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Finding the Fourth Proportional to 3,070.68, 4,603.59 and 1,338.09

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Solution

The fourth proportional to 3,070.68, 4,603.59 and 1,338.09 is: 2,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.68 : 4,603.59 = 1,338.09 : x
  2. Step 2: Convert to fraction form
    3,070.68/4,603.59 = 1,338.09/x
  3. Step 3: Cross multiply
    3,070.68x = 4,603.59 × 1,338.09
  4. Step 4: Simplify right side
    3,070.68x = 6,160,017.74
  5. Step 5: Solve for x
    x = 6,160,017.74/3,070.68
  6. Step 6: Final answer
    x = 2,006.08

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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.