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Finding the Fourth Proportional to 3,335.40, 4,998.84 and 1,580.40

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Solution

The fourth proportional to 3,335.40, 4,998.84 and 1,580.40 is: 2,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.40 : 4,998.84 = 1,580.40 : x
  2. Step 2: Convert to fraction form
    3,335.40/4,998.84 = 1,580.40/x
  3. Step 3: Cross multiply
    3,335.40x = 4,998.84 × 1,580.40
  4. Step 4: Simplify right side
    3,335.40x = 7,900,166.74
  5. Step 5: Solve for x
    x = 7,900,166.74/3,335.40
  6. Step 6: Final answer
    x = 2,368.58

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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.