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Finding the Fourth Proportional to 2,688.60, 4,032.93 and 839.58

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Solution

The fourth proportional to 2,688.60, 4,032.93 and 839.58 is: 1,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.60 : 4,032.93 = 839.58 : x
  2. Step 2: Convert to fraction form
    2,688.60/4,032.93 = 839.58/x
  3. Step 3: Cross multiply
    2,688.60x = 4,032.93 × 839.58
  4. Step 4: Simplify right side
    2,688.60x = 3,385,967.37
  5. Step 5: Solve for x
    x = 3,385,967.37/2,688.60
  6. Step 6: Final answer
    x = 1,259.38

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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.