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Finding the Fourth Proportional to 1,574.76, 2,172.20 and 1,133.26

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Solution

The fourth proportional to 1,574.76, 2,172.20 and 1,133.26 is: 1,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.76 : 2,172.20 = 1,133.26 : x
  2. Step 2: Convert to fraction form
    1,574.76/2,172.20 = 1,133.26/x
  3. Step 3: Cross multiply
    1,574.76x = 2,172.20 × 1,133.26
  4. Step 4: Simplify right side
    1,574.76x = 2,461,667.37
  5. Step 5: Solve for x
    x = 2,461,667.37/1,574.76
  6. Step 6: Final answer
    x = 1,563.20

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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.