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Finding the Fourth Proportional to 1,417.98, 1,950.60 and 1,337.34

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Solution

The fourth proportional to 1,417.98, 1,950.60 and 1,337.34 is: 1,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.98 : 1,950.60 = 1,337.34 : x
  2. Step 2: Convert to fraction form
    1,417.98/1,950.60 = 1,337.34/x
  3. Step 3: Cross multiply
    1,417.98x = 1,950.60 × 1,337.34
  4. Step 4: Simplify right side
    1,417.98x = 2,608,615.40
  5. Step 5: Solve for x
    x = 2,608,615.40/1,417.98
  6. Step 6: Final answer
    x = 1,839.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.