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Finding the Fourth Proportional to 2,085.16, 3,128.49 and 975.55

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Solution

The fourth proportional to 2,085.16, 3,128.49 and 975.55 is: 1,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.16 : 3,128.49 = 975.55 : x
  2. Step 2: Convert to fraction form
    2,085.16/3,128.49 = 975.55/x
  3. Step 3: Cross multiply
    2,085.16x = 3,128.49 × 975.55
  4. Step 4: Simplify right side
    2,085.16x = 3,051,998.42
  5. Step 5: Solve for x
    x = 3,051,998.42/2,085.16
  6. Step 6: Final answer
    x = 1,463.68

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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.