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Finding the Fourth Proportional to 2,056.59, 3,084.71 and 595.53

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Solution

The fourth proportional to 2,056.59, 3,084.71 and 595.53 is: 893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.59 : 3,084.71 = 595.53 : x
  2. Step 2: Convert to fraction form
    2,056.59/3,084.71 = 595.53/x
  3. Step 3: Cross multiply
    2,056.59x = 3,084.71 × 595.53
  4. Step 4: Simplify right side
    2,056.59x = 1,837,034.37
  5. Step 5: Solve for x
    x = 1,837,034.37/2,056.59
  6. Step 6: Final answer
    x = 893.24

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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.