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Finding the Fourth Proportional to 2,320.35, 3,482.34 and 859.92

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Solution

The fourth proportional to 2,320.35, 3,482.34 and 859.92 is: 1,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.35 : 3,482.34 = 859.92 : x
  2. Step 2: Convert to fraction form
    2,320.35/3,482.34 = 859.92/x
  3. Step 3: Cross multiply
    2,320.35x = 3,482.34 × 859.92
  4. Step 4: Simplify right side
    2,320.35x = 2,994,533.81
  5. Step 5: Solve for x
    x = 2,994,533.81/2,320.35
  6. Step 6: Final answer
    x = 1,290.55

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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.