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Finding the Fourth Proportional to 1,574.57, 2,361.06 and 916.66

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Solution

The fourth proportional to 1,574.57, 2,361.06 and 916.66 is: 1,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.57 : 2,361.06 = 916.66 : x
  2. Step 2: Convert to fraction form
    1,574.57/2,361.06 = 916.66/x
  3. Step 3: Cross multiply
    1,574.57x = 2,361.06 × 916.66
  4. Step 4: Simplify right side
    1,574.57x = 2,164,283.36
  5. Step 5: Solve for x
    x = 2,164,283.36/1,574.57
  6. Step 6: Final answer
    x = 1,374.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.