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Finding the Fourth Proportional to 1,642.49, 2,465.15 and 902.77

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Solution

The fourth proportional to 1,642.49, 2,465.15 and 902.77 is: 1,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.49 : 2,465.15 = 902.77 : x
  2. Step 2: Convert to fraction form
    1,642.49/2,465.15 = 902.77/x
  3. Step 3: Cross multiply
    1,642.49x = 2,465.15 × 902.77
  4. Step 4: Simplify right side
    1,642.49x = 2,225,452.79
  5. Step 5: Solve for x
    x = 2,225,452.79/1,642.49
  6. Step 6: Final answer
    x = 1,354.93

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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.