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Finding the Fourth Proportional to 2,056.63, 3,085.14 and 575.95

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Solution

The fourth proportional to 2,056.63, 3,085.14 and 575.95 is: 863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.63 : 3,085.14 = 575.95 : x
  2. Step 2: Convert to fraction form
    2,056.63/3,085.14 = 575.95/x
  3. Step 3: Cross multiply
    2,056.63x = 3,085.14 × 575.95
  4. Step 4: Simplify right side
    2,056.63x = 1,776,883.37
  5. Step 5: Solve for x
    x = 1,776,883.37/2,056.63
  6. Step 6: Final answer
    x = 863.98

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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.