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Finding the Fourth Proportional to 6,030.56, 9,045.78 and 1,648.01

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Solution

The fourth proportional to 6,030.56, 9,045.78 and 1,648.01 is: 2,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.56 : 9,045.78 = 1,648.01 : x
  2. Step 2: Convert to fraction form
    6,030.56/9,045.78 = 1,648.01/x
  3. Step 3: Cross multiply
    6,030.56x = 9,045.78 × 1,648.01
  4. Step 4: Simplify right side
    6,030.56x = 14,907,490.67
  5. Step 5: Solve for x
    x = 14,907,490.67/6,030.56
  6. Step 6: Final answer
    x = 2,471.99

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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.