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Finding the Fourth Proportional to 2,937.51, 4,405.15 and 962.67

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Solution

The fourth proportional to 2,937.51, 4,405.15 and 962.67 is: 1,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.51 : 4,405.15 = 962.67 : x
  2. Step 2: Convert to fraction form
    2,937.51/4,405.15 = 962.67/x
  3. Step 3: Cross multiply
    2,937.51x = 4,405.15 × 962.67
  4. Step 4: Simplify right side
    2,937.51x = 4,240,705.75
  5. Step 5: Solve for x
    x = 4,240,705.75/2,937.51
  6. Step 6: Final answer
    x = 1,443.64

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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.