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Finding the Fourth Proportional to 2,307.12, 3,460.56 and 846.17

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Solution

The fourth proportional to 2,307.12, 3,460.56 and 846.17 is: 1,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.12 : 3,460.56 = 846.17 : x
  2. Step 2: Convert to fraction form
    2,307.12/3,460.56 = 846.17/x
  3. Step 3: Cross multiply
    2,307.12x = 3,460.56 × 846.17
  4. Step 4: Simplify right side
    2,307.12x = 2,928,222.06
  5. Step 5: Solve for x
    x = 2,928,222.06/2,307.12
  6. Step 6: Final answer
    x = 1,269.21

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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.