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Finding the Fourth Proportional to 1,600.07, 2,400.10 and 950.45

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Solution

The fourth proportional to 1,600.07, 2,400.10 and 950.45 is: 1,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.07 : 2,400.10 = 950.45 : x
  2. Step 2: Convert to fraction form
    1,600.07/2,400.10 = 950.45/x
  3. Step 3: Cross multiply
    1,600.07x = 2,400.10 × 950.45
  4. Step 4: Simplify right side
    1,600.07x = 2,281,160.67
  5. Step 5: Solve for x
    x = 2,281,160.67/1,600.07
  6. Step 6: Final answer
    x = 1,425.67

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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.