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Finding the Fourth Proportional to 1,569.64, 2,164.76 and 1,237.54

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Solution

The fourth proportional to 1,569.64, 2,164.76 and 1,237.54 is: 1,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.64 : 2,164.76 = 1,237.54 : x
  2. Step 2: Convert to fraction form
    1,569.64/2,164.76 = 1,237.54/x
  3. Step 3: Cross multiply
    1,569.64x = 2,164.76 × 1,237.54
  4. Step 4: Simplify right side
    1,569.64x = 2,678,977.09
  5. Step 5: Solve for x
    x = 2,678,977.09/1,569.64
  6. Step 6: Final answer
    x = 1,706.75

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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.