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Finding the Fourth Proportional to 2,056.65, 3,085.43 and 595.68

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Solution

The fourth proportional to 2,056.65, 3,085.43 and 595.68 is: 893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.65 : 3,085.43 = 595.68 : x
  2. Step 2: Convert to fraction form
    2,056.65/3,085.43 = 595.68/x
  3. Step 3: Cross multiply
    2,056.65x = 3,085.43 × 595.68
  4. Step 4: Simplify right side
    2,056.65x = 1,837,928.94
  5. Step 5: Solve for x
    x = 1,837,928.94/2,056.65
  6. Step 6: Final answer
    x = 893.65

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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.