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Finding the Fourth Proportional to 2,047.70, 3,075.15 and 1,586.60

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Solution

The fourth proportional to 2,047.70, 3,075.15 and 1,586.60 is: 2,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.70 : 3,075.15 = 1,586.60 : x
  2. Step 2: Convert to fraction form
    2,047.70/3,075.15 = 1,586.60/x
  3. Step 3: Cross multiply
    2,047.70x = 3,075.15 × 1,586.60
  4. Step 4: Simplify right side
    2,047.70x = 4,879,032.99
  5. Step 5: Solve for x
    x = 4,879,032.99/2,047.70
  6. Step 6: Final answer
    x = 2,382.69

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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.