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Finding the Fourth Proportional to 2,465.42, 3,404.86 and 2,075.54

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Solution

The fourth proportional to 2,465.42, 3,404.86 and 2,075.54 is: 2,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.42 : 3,404.86 = 2,075.54 : x
  2. Step 2: Convert to fraction form
    2,465.42/3,404.86 = 2,075.54/x
  3. Step 3: Cross multiply
    2,465.42x = 3,404.86 × 2,075.54
  4. Step 4: Simplify right side
    2,465.42x = 7,066,923.12
  5. Step 5: Solve for x
    x = 7,066,923.12/2,465.42
  6. Step 6: Final answer
    x = 2,866.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.