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Finding the Fourth Proportional to 2,384.17, 3,290.16 and 1,452.67

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Solution

The fourth proportional to 2,384.17, 3,290.16 and 1,452.67 is: 2,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.17 : 3,290.16 = 1,452.67 : x
  2. Step 2: Convert to fraction form
    2,384.17/3,290.16 = 1,452.67/x
  3. Step 3: Cross multiply
    2,384.17x = 3,290.16 × 1,452.67
  4. Step 4: Simplify right side
    2,384.17x = 4,779,509.46
  5. Step 5: Solve for x
    x = 4,779,509.46/2,384.17
  6. Step 6: Final answer
    x = 2,004.68

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Why These Related Problems?

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