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Finding the Fourth Proportional to 1,574.58, 2,361.90 and 917.46

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Solution

The fourth proportional to 1,574.58, 2,361.90 and 917.46 is: 1,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.58 : 2,361.90 = 917.46 : x
  2. Step 2: Convert to fraction form
    1,574.58/2,361.90 = 917.46/x
  3. Step 3: Cross multiply
    1,574.58x = 2,361.90 × 917.46
  4. Step 4: Simplify right side
    1,574.58x = 2,166,948.77
  5. Step 5: Solve for x
    x = 2,166,948.77/1,574.58
  6. Step 6: Final answer
    x = 1,376.21

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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.