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Finding the Fourth Proportional to 1,667.00, 2,301.08 and 1,037.63

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Solution

The fourth proportional to 1,667.00, 2,301.08 and 1,037.63 is: 1,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.00 : 2,301.08 = 1,037.63 : x
  2. Step 2: Convert to fraction form
    1,667.00/2,301.08 = 1,037.63/x
  3. Step 3: Cross multiply
    1,667.00x = 2,301.08 × 1,037.63
  4. Step 4: Simplify right side
    1,667.00x = 2,387,670.20
  5. Step 5: Solve for x
    x = 2,387,670.20/1,667.00
  6. Step 6: Final answer
    x = 1,432.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.