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Finding the Fourth Proportional to 2,420.02, 3,630.12 and 688.60

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Solution

The fourth proportional to 2,420.02, 3,630.12 and 688.60 is: 1,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.02 : 3,630.12 = 688.60 : x
  2. Step 2: Convert to fraction form
    2,420.02/3,630.12 = 688.60/x
  3. Step 3: Cross multiply
    2,420.02x = 3,630.12 × 688.60
  4. Step 4: Simplify right side
    2,420.02x = 2,499,700.63
  5. Step 5: Solve for x
    x = 2,499,700.63/2,420.02
  6. Step 6: Final answer
    x = 1,032.93

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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.