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Finding the Fourth Proportional to 2,376.07, 3,564.72 and 988.96

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Solution

The fourth proportional to 2,376.07, 3,564.72 and 988.96 is: 1,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.07 : 3,564.72 = 988.96 : x
  2. Step 2: Convert to fraction form
    2,376.07/3,564.72 = 988.96/x
  3. Step 3: Cross multiply
    2,376.07x = 3,564.72 × 988.96
  4. Step 4: Simplify right side
    2,376.07x = 3,525,365.49
  5. Step 5: Solve for x
    x = 3,525,365.49/2,376.07
  6. Step 6: Final answer
    x = 1,483.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.