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Finding the Fourth Proportional to 1,663.07, 2,496.14 and 841.93

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Solution

The fourth proportional to 1,663.07, 2,496.14 and 841.93 is: 1,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.07 : 2,496.14 = 841.93 : x
  2. Step 2: Convert to fraction form
    1,663.07/2,496.14 = 841.93/x
  3. Step 3: Cross multiply
    1,663.07x = 2,496.14 × 841.93
  4. Step 4: Simplify right side
    1,663.07x = 2,101,571.01
  5. Step 5: Solve for x
    x = 2,101,571.01/1,663.07
  6. Step 6: Final answer
    x = 1,263.67

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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.