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Finding the Fourth Proportional to 1,666.76, 2,302.98 and 1,320.08

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Solution

The fourth proportional to 1,666.76, 2,302.98 and 1,320.08 is: 1,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.76 : 2,302.98 = 1,320.08 : x
  2. Step 2: Convert to fraction form
    1,666.76/2,302.98 = 1,320.08/x
  3. Step 3: Cross multiply
    1,666.76x = 2,302.98 × 1,320.08
  4. Step 4: Simplify right side
    1,666.76x = 3,040,117.84
  5. Step 5: Solve for x
    x = 3,040,117.84/1,666.76
  6. Step 6: Final answer
    x = 1,823.97

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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.