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Finding the Fourth Proportional to 1,574.30, 2,172.43 and 866.00

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Solution

The fourth proportional to 1,574.30, 2,172.43 and 866.00 is: 1,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.30 : 2,172.43 = 866.00 : x
  2. Step 2: Convert to fraction form
    1,574.30/2,172.43 = 866.00/x
  3. Step 3: Cross multiply
    1,574.30x = 2,172.43 × 866.00
  4. Step 4: Simplify right side
    1,574.30x = 1,881,314.60
  5. Step 5: Solve for x
    x = 1,881,314.60/1,574.30
  6. Step 6: Final answer
    x = 1,195.02

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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.