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Finding the Fourth Proportional to 1,666.85, 2,299.32 and 1,037.14

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Solution

The fourth proportional to 1,666.85, 2,299.32 and 1,037.14 is: 1,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.85 : 2,299.32 = 1,037.14 : x
  2. Step 2: Convert to fraction form
    1,666.85/2,299.32 = 1,037.14/x
  3. Step 3: Cross multiply
    1,666.85x = 2,299.32 × 1,037.14
  4. Step 4: Simplify right side
    1,666.85x = 2,384,711.00
  5. Step 5: Solve for x
    x = 2,384,711.00/1,666.85
  6. Step 6: Final answer
    x = 1,430.67

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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.