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Finding the Fourth Proportional to 3,030.30, 4,538.16 and 2,053.44

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Solution

The fourth proportional to 3,030.30, 4,538.16 and 2,053.44 is: 3,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.30 : 4,538.16 = 2,053.44 : x
  2. Step 2: Convert to fraction form
    3,030.30/4,538.16 = 2,053.44/x
  3. Step 3: Cross multiply
    3,030.30x = 4,538.16 × 2,053.44
  4. Step 4: Simplify right side
    3,030.30x = 9,318,839.27
  5. Step 5: Solve for x
    x = 9,318,839.27/3,030.30
  6. Step 6: Final answer
    x = 3,075.22

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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.