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Finding the Fourth Proportional to 3,038.80, 4,556.88 and 1,574.80

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Solution

The fourth proportional to 3,038.80, 4,556.88 and 1,574.80 is: 2,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.80 : 4,556.88 = 1,574.80 : x
  2. Step 2: Convert to fraction form
    3,038.80/4,556.88 = 1,574.80/x
  3. Step 3: Cross multiply
    3,038.80x = 4,556.88 × 1,574.80
  4. Step 4: Simplify right side
    3,038.80x = 7,176,174.62
  5. Step 5: Solve for x
    x = 7,176,174.62/3,038.80
  6. Step 6: Final answer
    x = 2,361.52

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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.