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Finding the Fourth Proportional to 1,686.70, 2,527.32 and 1,036.06

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Solution

The fourth proportional to 1,686.70, 2,527.32 and 1,036.06 is: 1,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.70 : 2,527.32 = 1,036.06 : x
  2. Step 2: Convert to fraction form
    1,686.70/2,527.32 = 1,036.06/x
  3. Step 3: Cross multiply
    1,686.70x = 2,527.32 × 1,036.06
  4. Step 4: Simplify right side
    1,686.70x = 2,618,455.16
  5. Step 5: Solve for x
    x = 2,618,455.16/1,686.70
  6. Step 6: Final answer
    x = 1,552.41

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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.