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Finding the Fourth Proportional to 1,666.19, 2,495.95 and 1,320.12

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Solution

The fourth proportional to 1,666.19, 2,495.95 and 1,320.12 is: 1,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.19 : 2,495.95 = 1,320.12 : x
  2. Step 2: Convert to fraction form
    1,666.19/2,495.95 = 1,320.12/x
  3. Step 3: Cross multiply
    1,666.19x = 2,495.95 × 1,320.12
  4. Step 4: Simplify right side
    1,666.19x = 3,294,950.21
  5. Step 5: Solve for x
    x = 3,294,950.21/1,666.19
  6. Step 6: Final answer
    x = 1,977.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.