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Finding the Fourth Proportional to 3,075.65, 4,614.27 and 1,430.27

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Solution

The fourth proportional to 3,075.65, 4,614.27 and 1,430.27 is: 2,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.65 : 4,614.27 = 1,430.27 : x
  2. Step 2: Convert to fraction form
    3,075.65/4,614.27 = 1,430.27/x
  3. Step 3: Cross multiply
    3,075.65x = 4,614.27 × 1,430.27
  4. Step 4: Simplify right side
    3,075.65x = 6,599,640.82
  5. Step 5: Solve for x
    x = 6,599,640.82/3,075.65
  6. Step 6: Final answer
    x = 2,145.77

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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.