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Finding the Fourth Proportional to 2,460.86, 3,688.88 and 1,580.90

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Solution

The fourth proportional to 2,460.86, 3,688.88 and 1,580.90 is: 2,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.86 : 3,688.88 = 1,580.90 : x
  2. Step 2: Convert to fraction form
    2,460.86/3,688.88 = 1,580.90/x
  3. Step 3: Cross multiply
    2,460.86x = 3,688.88 × 1,580.90
  4. Step 4: Simplify right side
    2,460.86x = 5,831,750.39
  5. Step 5: Solve for x
    x = 5,831,750.39/2,460.86
  6. Step 6: Final answer
    x = 2,369.80

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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.