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Finding the Fourth Proportional to 2,852.34, 4,275.60 and 1,927.99

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Solution

The fourth proportional to 2,852.34, 4,275.60 and 1,927.99 is: 2,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.34 : 4,275.60 = 1,927.99 : x
  2. Step 2: Convert to fraction form
    2,852.34/4,275.60 = 1,927.99/x
  3. Step 3: Cross multiply
    2,852.34x = 4,275.60 × 1,927.99
  4. Step 4: Simplify right side
    2,852.34x = 8,243,283.03
  5. Step 5: Solve for x
    x = 8,243,283.03/2,852.34
  6. Step 6: Final answer
    x = 2,890.01

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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.