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Finding the Fourth Proportional to 2,316.84, 3,477.59 and 2,055

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Solution

The fourth proportional to 2,316.84, 3,477.59 and 2,055 is: 3,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.84 : 3,477.59 = 2,055 : x
  2. Step 2: Convert to fraction form
    2,316.84/3,477.59 = 2,055/x
  3. Step 3: Cross multiply
    2,316.84x = 3,477.59 × 2,055
  4. Step 4: Simplify right side
    2,316.84x = 7,146,447.45
  5. Step 5: Solve for x
    x = 7,146,447.45/2,316.84
  6. Step 6: Final answer
    x = 3,084.57

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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.