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Finding the Fourth Proportional to 2,316.94, 3,473.59 and 1,658.34

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Solution

The fourth proportional to 2,316.94, 3,473.59 and 1,658.34 is: 2,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.94 : 3,473.59 = 1,658.34 : x
  2. Step 2: Convert to fraction form
    2,316.94/3,473.59 = 1,658.34/x
  3. Step 3: Cross multiply
    2,316.94x = 3,473.59 × 1,658.34
  4. Step 4: Simplify right side
    2,316.94x = 5,760,393.24
  5. Step 5: Solve for x
    x = 5,760,393.24/2,316.94
  6. Step 6: Final answer
    x = 2,486.21

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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.