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Finding the Fourth Proportional to 1,666.24, 2,497.12 and 1,048.96

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Solution

The fourth proportional to 1,666.24, 2,497.12 and 1,048.96 is: 1,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.24 : 2,497.12 = 1,048.96 : x
  2. Step 2: Convert to fraction form
    1,666.24/2,497.12 = 1,048.96/x
  3. Step 3: Cross multiply
    1,666.24x = 2,497.12 × 1,048.96
  4. Step 4: Simplify right side
    1,666.24x = 2,619,379.00
  5. Step 5: Solve for x
    x = 2,619,379.00/1,666.24
  6. Step 6: Final answer
    x = 1,572.03

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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.