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Finding the Fourth Proportional to 2,307.60, 3,460.20 and 1,867.68

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Solution

The fourth proportional to 2,307.60, 3,460.20 and 1,867.68 is: 2,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.60 : 3,460.20 = 1,867.68 : x
  2. Step 2: Convert to fraction form
    2,307.60/3,460.20 = 1,867.68/x
  3. Step 3: Cross multiply
    2,307.60x = 3,460.20 × 1,867.68
  4. Step 4: Simplify right side
    2,307.60x = 6,462,546.34
  5. Step 5: Solve for x
    x = 6,462,546.34/2,307.60
  6. Step 6: Final answer
    x = 2,800.55

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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.