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Finding the Fourth Proportional to 3,023.65, 4,535.16 and 1,075.60

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Solution

The fourth proportional to 3,023.65, 4,535.16 and 1,075.60 is: 1,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.65 : 4,535.16 = 1,075.60 : x
  2. Step 2: Convert to fraction form
    3,023.65/4,535.16 = 1,075.60/x
  3. Step 3: Cross multiply
    3,023.65x = 4,535.16 × 1,075.60
  4. Step 4: Simplify right side
    3,023.65x = 4,878,018.10
  5. Step 5: Solve for x
    x = 4,878,018.10/3,023.65
  6. Step 6: Final answer
    x = 1,613.29

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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.