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Finding the Fourth Proportional to 1,674.34, 2,509.65 and 578.14

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Solution

The fourth proportional to 1,674.34, 2,509.65 and 578.14 is: 866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.34 : 2,509.65 = 578.14 : x
  2. Step 2: Convert to fraction form
    1,674.34/2,509.65 = 578.14/x
  3. Step 3: Cross multiply
    1,674.34x = 2,509.65 × 578.14
  4. Step 4: Simplify right side
    1,674.34x = 1,450,922.78
  5. Step 5: Solve for x
    x = 1,450,922.78/1,674.34
  6. Step 6: Final answer
    x = 866.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.