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Finding the Fourth Proportional to 1,586.94, 2,185.02 and 1,306.28

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Solution

The fourth proportional to 1,586.94, 2,185.02 and 1,306.28 is: 1,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.94 : 2,185.02 = 1,306.28 : x
  2. Step 2: Convert to fraction form
    1,586.94/2,185.02 = 1,306.28/x
  3. Step 3: Cross multiply
    1,586.94x = 2,185.02 × 1,306.28
  4. Step 4: Simplify right side
    1,586.94x = 2,854,237.00
  5. Step 5: Solve for x
    x = 2,854,237.00/1,586.94
  6. Step 6: Final answer
    x = 1,798.58

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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.