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Finding the Fourth Proportional to 1,544.07, 2,316.21 and 570.24

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Solution

The fourth proportional to 1,544.07, 2,316.21 and 570.24 is: 855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.07 : 2,316.21 = 570.24 : x
  2. Step 2: Convert to fraction form
    1,544.07/2,316.21 = 570.24/x
  3. Step 3: Cross multiply
    1,544.07x = 2,316.21 × 570.24
  4. Step 4: Simplify right side
    1,544.07x = 1,320,795.59
  5. Step 5: Solve for x
    x = 1,320,795.59/1,544.07
  6. Step 6: Final answer
    x = 855.40

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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.