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Finding the Fourth Proportional to 3,302.34, 4,557.06 and 1,905

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Solution

The fourth proportional to 3,302.34, 4,557.06 and 1,905 is: 2,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.34 : 4,557.06 = 1,905 : x
  2. Step 2: Convert to fraction form
    3,302.34/4,557.06 = 1,905/x
  3. Step 3: Cross multiply
    3,302.34x = 4,557.06 × 1,905
  4. Step 4: Simplify right side
    3,302.34x = 8,681,199.30
  5. Step 5: Solve for x
    x = 8,681,199.30/3,302.34
  6. Step 6: Final answer
    x = 2,628.80

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Why These Related Problems?

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