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Finding the Fourth Proportional to 1,666.64, 2,493.77 and 1,047.45

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Solution

The fourth proportional to 1,666.64, 2,493.77 and 1,047.45 is: 1,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.64 : 2,493.77 = 1,047.45 : x
  2. Step 2: Convert to fraction form
    1,666.64/2,493.77 = 1,047.45/x
  3. Step 3: Cross multiply
    1,666.64x = 2,493.77 × 1,047.45
  4. Step 4: Simplify right side
    1,666.64x = 2,612,094.15
  5. Step 5: Solve for x
    x = 2,612,094.15/1,666.64
  6. Step 6: Final answer
    x = 1,567.29

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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.