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Finding the Fourth Proportional to 4,570.48, 6,855.68 and 1,648.76

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Solution

The fourth proportional to 4,570.48, 6,855.68 and 1,648.76 is: 2,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.48 : 6,855.68 = 1,648.76 : x
  2. Step 2: Convert to fraction form
    4,570.48/6,855.68 = 1,648.76/x
  3. Step 3: Cross multiply
    4,570.48x = 6,855.68 × 1,648.76
  4. Step 4: Simplify right side
    4,570.48x = 11,303,370.96
  5. Step 5: Solve for x
    x = 11,303,370.96/4,570.48
  6. Step 6: Final answer
    x = 2,473.13

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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.