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Finding the Fourth Proportional to 2,316.88, 3,476.04 and 1,342.45

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Solution

The fourth proportional to 2,316.88, 3,476.04 and 1,342.45 is: 2,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.88 : 3,476.04 = 1,342.45 : x
  2. Step 2: Convert to fraction form
    2,316.88/3,476.04 = 1,342.45/x
  3. Step 3: Cross multiply
    2,316.88x = 3,476.04 × 1,342.45
  4. Step 4: Simplify right side
    2,316.88x = 4,666,409.90
  5. Step 5: Solve for x
    x = 4,666,409.90/2,316.88
  6. Step 6: Final answer
    x = 2,014.09

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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.