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Finding the Fourth Proportional to 2,315.84, 3,476.09 and 2,054.00

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Solution

The fourth proportional to 2,315.84, 3,476.09 and 2,054.00 is: 3,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.84 : 3,476.09 = 2,054.00 : x
  2. Step 2: Convert to fraction form
    2,315.84/3,476.09 = 2,054.00/x
  3. Step 3: Cross multiply
    2,315.84x = 3,476.09 × 2,054.00
  4. Step 4: Simplify right side
    2,315.84x = 7,139,902.69
  5. Step 5: Solve for x
    x = 7,139,902.69/2,315.84
  6. Step 6: Final answer
    x = 3,083.08

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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.