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Finding the Fourth Proportional to 1,544.89, 2,316.72 and 557.43

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Solution

The fourth proportional to 1,544.89, 2,316.72 and 557.43 is: 835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.89 : 2,316.72 = 557.43 : x
  2. Step 2: Convert to fraction form
    1,544.89/2,316.72 = 557.43/x
  3. Step 3: Cross multiply
    1,544.89x = 2,316.72 × 557.43
  4. Step 4: Simplify right side
    1,544.89x = 1,291,409.23
  5. Step 5: Solve for x
    x = 1,291,409.23/1,544.89
  6. Step 6: Final answer
    x = 835.92

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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.