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Finding the Fourth Proportional to 2,319.19, 3,479.32 and 780.19

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Solution

The fourth proportional to 2,319.19, 3,479.32 and 780.19 is: 1,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.19 : 3,479.32 = 780.19 : x
  2. Step 2: Convert to fraction form
    2,319.19/3,479.32 = 780.19/x
  3. Step 3: Cross multiply
    2,319.19x = 3,479.32 × 780.19
  4. Step 4: Simplify right side
    2,319.19x = 2,714,522.95
  5. Step 5: Solve for x
    x = 2,714,522.95/2,319.19
  6. Step 6: Final answer
    x = 1,170.46

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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.