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Finding the Fourth Proportional to 1,667.64, 2,500.05 and 1,018.83

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Solution

The fourth proportional to 1,667.64, 2,500.05 and 1,018.83 is: 1,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.64 : 2,500.05 = 1,018.83 : x
  2. Step 2: Convert to fraction form
    1,667.64/2,500.05 = 1,018.83/x
  3. Step 3: Cross multiply
    1,667.64x = 2,500.05 × 1,018.83
  4. Step 4: Simplify right side
    1,667.64x = 2,547,125.94
  5. Step 5: Solve for x
    x = 2,547,125.94/1,667.64
  6. Step 6: Final answer
    x = 1,527.38

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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.