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Finding the Fourth Proportional to 1,575.57, 2,362.56 and 917.66

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Solution

The fourth proportional to 1,575.57, 2,362.56 and 917.66 is: 1,376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.57 : 2,362.56 = 917.66 : x
  2. Step 2: Convert to fraction form
    1,575.57/2,362.56 = 917.66/x
  3. Step 3: Cross multiply
    1,575.57x = 2,362.56 × 917.66
  4. Step 4: Simplify right side
    1,575.57x = 2,168,026.81
  5. Step 5: Solve for x
    x = 2,168,026.81/1,575.57
  6. Step 6: Final answer
    x = 1,376.03

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