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Finding the Fourth Proportional to 2,364.72, 3,263.34 and 1,420.64

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Solution

The fourth proportional to 2,364.72, 3,263.34 and 1,420.64 is: 1,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.72 : 3,263.34 = 1,420.64 : x
  2. Step 2: Convert to fraction form
    2,364.72/3,263.34 = 1,420.64/x
  3. Step 3: Cross multiply
    2,364.72x = 3,263.34 × 1,420.64
  4. Step 4: Simplify right side
    2,364.72x = 4,636,031.34
  5. Step 5: Solve for x
    x = 4,636,031.34/2,364.72
  6. Step 6: Final answer
    x = 1,960.50

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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.