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Finding the Fourth Proportional to 1,574.50, 2,172.81 and 876.01

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Solution

The fourth proportional to 1,574.50, 2,172.81 and 876.01 is: 1,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.50 : 2,172.81 = 876.01 : x
  2. Step 2: Convert to fraction form
    1,574.50/2,172.81 = 876.01/x
  3. Step 3: Cross multiply
    1,574.50x = 2,172.81 × 876.01
  4. Step 4: Simplify right side
    1,574.50x = 1,903,403.29
  5. Step 5: Solve for x
    x = 1,903,403.29/1,574.50
  6. Step 6: Final answer
    x = 1,208.89

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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.