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Finding the Fourth Proportional to 1,557.84, 2,150.64 and 1,139.16

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Solution

The fourth proportional to 1,557.84, 2,150.64 and 1,139.16 is: 1,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.84 : 2,150.64 = 1,139.16 : x
  2. Step 2: Convert to fraction form
    1,557.84/2,150.64 = 1,139.16/x
  3. Step 3: Cross multiply
    1,557.84x = 2,150.64 × 1,139.16
  4. Step 4: Simplify right side
    1,557.84x = 2,449,923.06
  5. Step 5: Solve for x
    x = 2,449,923.06/1,557.84
  6. Step 6: Final answer
    x = 1,572.64

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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.