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Finding the Fourth Proportional to 2,425.34, 3,347.33 and 1,678.93

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Solution

The fourth proportional to 2,425.34, 3,347.33 and 1,678.93 is: 2,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.34 : 3,347.33 = 1,678.93 : x
  2. Step 2: Convert to fraction form
    2,425.34/3,347.33 = 1,678.93/x
  3. Step 3: Cross multiply
    2,425.34x = 3,347.33 × 1,678.93
  4. Step 4: Simplify right side
    2,425.34x = 5,619,915.99
  5. Step 5: Solve for x
    x = 5,619,915.99/2,425.34
  6. Step 6: Final answer
    x = 2,317.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.