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Finding the Fourth Proportional to 2,307.39, 3,459.15 and 845.70

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Solution

The fourth proportional to 2,307.39, 3,459.15 and 845.70 is: 1,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.39 : 3,459.15 = 845.70 : x
  2. Step 2: Convert to fraction form
    2,307.39/3,459.15 = 845.70/x
  3. Step 3: Cross multiply
    2,307.39x = 3,459.15 × 845.70
  4. Step 4: Simplify right side
    2,307.39x = 2,925,403.16
  5. Step 5: Solve for x
    x = 2,925,403.16/2,307.39
  6. Step 6: Final answer
    x = 1,267.84

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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.