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Finding the Fourth Proportional to 1,666.45, 2,495.77 and 1,317.48

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Solution

The fourth proportional to 1,666.45, 2,495.77 and 1,317.48 is: 1,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.45 : 2,495.77 = 1,317.48 : x
  2. Step 2: Convert to fraction form
    1,666.45/2,495.77 = 1,317.48/x
  3. Step 3: Cross multiply
    1,666.45x = 2,495.77 × 1,317.48
  4. Step 4: Simplify right side
    1,666.45x = 3,288,127.06
  5. Step 5: Solve for x
    x = 3,288,127.06/1,666.45
  6. Step 6: Final answer
    x = 1,973.13

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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.