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Finding the Fourth Proportional to 1,686.74, 2,328.69 and 1,066.58

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Solution

The fourth proportional to 1,686.74, 2,328.69 and 1,066.58 is: 1,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.74 : 2,328.69 = 1,066.58 : x
  2. Step 2: Convert to fraction form
    1,686.74/2,328.69 = 1,066.58/x
  3. Step 3: Cross multiply
    1,686.74x = 2,328.69 × 1,066.58
  4. Step 4: Simplify right side
    1,686.74x = 2,483,734.18
  5. Step 5: Solve for x
    x = 2,483,734.18/1,686.74
  6. Step 6: Final answer
    x = 1,472.51

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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.