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Finding the Fourth Proportional to 1,544.16, 2,130.78 and 880.98

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Solution

The fourth proportional to 1,544.16, 2,130.78 and 880.98 is: 1,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.16 : 2,130.78 = 880.98 : x
  2. Step 2: Convert to fraction form
    1,544.16/2,130.78 = 880.98/x
  3. Step 3: Cross multiply
    1,544.16x = 2,130.78 × 880.98
  4. Step 4: Simplify right side
    1,544.16x = 1,877,174.56
  5. Step 5: Solve for x
    x = 1,877,174.56/1,544.16
  6. Step 6: Final answer
    x = 1,215.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.