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Finding the Fourth Proportional to 1,619.84, 2,430.12 and 465.50

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Solution

The fourth proportional to 1,619.84, 2,430.12 and 465.50 is: 698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.84 : 2,430.12 = 465.50 : x
  2. Step 2: Convert to fraction form
    1,619.84/2,430.12 = 465.50/x
  3. Step 3: Cross multiply
    1,619.84x = 2,430.12 × 465.50
  4. Step 4: Simplify right side
    1,619.84x = 1,131,220.86
  5. Step 5: Solve for x
    x = 1,131,220.86/1,619.84
  6. Step 6: Final answer
    x = 698.35

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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.