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Finding the Fourth Proportional to 1,666.51, 2,300.88 and 1,037.95

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Solution

The fourth proportional to 1,666.51, 2,300.88 and 1,037.95 is: 1,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.51 : 2,300.88 = 1,037.95 : x
  2. Step 2: Convert to fraction form
    1,666.51/2,300.88 = 1,037.95/x
  3. Step 3: Cross multiply
    1,666.51x = 2,300.88 × 1,037.95
  4. Step 4: Simplify right side
    1,666.51x = 2,388,198.40
  5. Step 5: Solve for x
    x = 2,388,198.40/1,666.51
  6. Step 6: Final answer
    x = 1,433.05

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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.