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Finding the Fourth Proportional to 1,999.46, 3,000.14 and 904.16

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Solution

The fourth proportional to 1,999.46, 3,000.14 and 904.16 is: 1,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.46 : 3,000.14 = 904.16 : x
  2. Step 2: Convert to fraction form
    1,999.46/3,000.14 = 904.16/x
  3. Step 3: Cross multiply
    1,999.46x = 3,000.14 × 904.16
  4. Step 4: Simplify right side
    1,999.46x = 2,712,606.58
  5. Step 5: Solve for x
    x = 2,712,606.58/1,999.46
  6. Step 6: Final answer
    x = 1,356.67

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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.