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Finding the Fourth Proportional to 2,955.69, 4,428.54 and 2,085.75

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Solution

The fourth proportional to 2,955.69, 4,428.54 and 2,085.75 is: 3,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.69 : 4,428.54 = 2,085.75 : x
  2. Step 2: Convert to fraction form
    2,955.69/4,428.54 = 2,085.75/x
  3. Step 3: Cross multiply
    2,955.69x = 4,428.54 × 2,085.75
  4. Step 4: Simplify right side
    2,955.69x = 9,236,827.31
  5. Step 5: Solve for x
    x = 9,236,827.31/2,955.69
  6. Step 6: Final answer
    x = 3,125.10

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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.