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Finding the Fourth Proportional to 2,045.56, 3,064.12 and 1,698.08

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Solution

The fourth proportional to 2,045.56, 3,064.12 and 1,698.08 is: 2,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.56 : 3,064.12 = 1,698.08 : x
  2. Step 2: Convert to fraction form
    2,045.56/3,064.12 = 1,698.08/x
  3. Step 3: Cross multiply
    2,045.56x = 3,064.12 × 1,698.08
  4. Step 4: Simplify right side
    2,045.56x = 5,203,120.89
  5. Step 5: Solve for x
    x = 5,203,120.89/2,045.56
  6. Step 6: Final answer
    x = 2,543.62

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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.