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Finding the Fourth Proportional to 2,152.68, 2,968.76 and 1,820.76

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Solution

The fourth proportional to 2,152.68, 2,968.76 and 1,820.76 is: 2,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.68 : 2,968.76 = 1,820.76 : x
  2. Step 2: Convert to fraction form
    2,152.68/2,968.76 = 1,820.76/x
  3. Step 3: Cross multiply
    2,152.68x = 2,968.76 × 1,820.76
  4. Step 4: Simplify right side
    2,152.68x = 5,405,399.46
  5. Step 5: Solve for x
    x = 5,405,399.46/2,152.68
  6. Step 6: Final answer
    x = 2,511.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.