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Finding the Fourth Proportional to 1,574.98, 2,171.64 and 1,132.72

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Solution

The fourth proportional to 1,574.98, 2,171.64 and 1,132.72 is: 1,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.98 : 2,171.64 = 1,132.72 : x
  2. Step 2: Convert to fraction form
    1,574.98/2,171.64 = 1,132.72/x
  3. Step 3: Cross multiply
    1,574.98x = 2,171.64 × 1,132.72
  4. Step 4: Simplify right side
    1,574.98x = 2,459,860.06
  5. Step 5: Solve for x
    x = 2,459,860.06/1,574.98
  6. Step 6: Final answer
    x = 1,561.84

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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.