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Finding the Fourth Proportional to 4,146.66, 6,220 and 1,681.02

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Solution

The fourth proportional to 4,146.66, 6,220 and 1,681.02 is: 2,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.66 : 6,220 = 1,681.02 : x
  2. Step 2: Convert to fraction form
    4,146.66/6,220 = 1,681.02/x
  3. Step 3: Cross multiply
    4,146.66x = 6,220 × 1,681.02
  4. Step 4: Simplify right side
    4,146.66x = 10,455,944.40
  5. Step 5: Solve for x
    x = 10,455,944.40/4,146.66
  6. Step 6: Final answer
    x = 2,521.53

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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.