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Finding the Fourth Proportional to 2,520.04, 3,779.76 and 671.08

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Solution

The fourth proportional to 2,520.04, 3,779.76 and 671.08 is: 1,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.04 : 3,779.76 = 671.08 : x
  2. Step 2: Convert to fraction form
    2,520.04/3,779.76 = 671.08/x
  3. Step 3: Cross multiply
    2,520.04x = 3,779.76 × 671.08
  4. Step 4: Simplify right side
    2,520.04x = 2,536,521.34
  5. Step 5: Solve for x
    x = 2,536,521.34/2,520.04
  6. Step 6: Final answer
    x = 1,006.54

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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.