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Finding the Fourth Proportional to 2,875.99, 4,313.06 and 927.74

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Solution

The fourth proportional to 2,875.99, 4,313.06 and 927.74 is: 1,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.99 : 4,313.06 = 927.74 : x
  2. Step 2: Convert to fraction form
    2,875.99/4,313.06 = 927.74/x
  3. Step 3: Cross multiply
    2,875.99x = 4,313.06 × 927.74
  4. Step 4: Simplify right side
    2,875.99x = 4,001,376.72
  5. Step 5: Solve for x
    x = 4,001,376.72/2,875.99
  6. Step 6: Final answer
    x = 1,391.30

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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.