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Finding the Fourth Proportional to 4,602.76, 6,900.76 and 1,681.08

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Solution

The fourth proportional to 4,602.76, 6,900.76 and 1,681.08 is: 2,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.76 : 6,900.76 = 1,681.08 : x
  2. Step 2: Convert to fraction form
    4,602.76/6,900.76 = 1,681.08/x
  3. Step 3: Cross multiply
    4,602.76x = 6,900.76 × 1,681.08
  4. Step 4: Simplify right side
    4,602.76x = 11,600,729.62
  5. Step 5: Solve for x
    x = 11,600,729.62/4,602.76
  6. Step 6: Final answer
    x = 2,520.39

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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.