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Finding the Fourth Proportional to 2,460.96, 3,688.08 and 1,420.32

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Solution

The fourth proportional to 2,460.96, 3,688.08 and 1,420.32 is: 2,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.96 : 3,688.08 = 1,420.32 : x
  2. Step 2: Convert to fraction form
    2,460.96/3,688.08 = 1,420.32/x
  3. Step 3: Cross multiply
    2,460.96x = 3,688.08 × 1,420.32
  4. Step 4: Simplify right side
    2,460.96x = 5,238,253.79
  5. Step 5: Solve for x
    x = 5,238,253.79/2,460.96
  6. Step 6: Final answer
    x = 2,128.54

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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.