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Finding the Fourth Proportional to 1,661.30, 2,492.06 and 491.30

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Solution

The fourth proportional to 1,661.30, 2,492.06 and 491.30 is: 736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.30 : 2,492.06 = 491.30 : x
  2. Step 2: Convert to fraction form
    1,661.30/2,492.06 = 491.30/x
  3. Step 3: Cross multiply
    1,661.30x = 2,492.06 × 491.30
  4. Step 4: Simplify right side
    1,661.30x = 1,224,334.16
  5. Step 5: Solve for x
    x = 1,224,334.16/1,661.30
  6. Step 6: Final answer
    x = 736.98

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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.