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Finding the Fourth Proportional to 2,666.36, 4,002.06 and 1,434.80

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Solution

The fourth proportional to 2,666.36, 4,002.06 and 1,434.80 is: 2,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.36 : 4,002.06 = 1,434.80 : x
  2. Step 2: Convert to fraction form
    2,666.36/4,002.06 = 1,434.80/x
  3. Step 3: Cross multiply
    2,666.36x = 4,002.06 × 1,434.80
  4. Step 4: Simplify right side
    2,666.36x = 5,742,155.69
  5. Step 5: Solve for x
    x = 5,742,155.69/2,666.36
  6. Step 6: Final answer
    x = 2,153.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.