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Finding the Fourth Proportional to 1,892.55, 2,835.57 and 1,461.63

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Solution

The fourth proportional to 1,892.55, 2,835.57 and 1,461.63 is: 2,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.55 : 2,835.57 = 1,461.63 : x
  2. Step 2: Convert to fraction form
    1,892.55/2,835.57 = 1,461.63/x
  3. Step 3: Cross multiply
    1,892.55x = 2,835.57 × 1,461.63
  4. Step 4: Simplify right side
    1,892.55x = 4,144,554.18
  5. Step 5: Solve for x
    x = 4,144,554.18/1,892.55
  6. Step 6: Final answer
    x = 2,189.93

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1.5x scale

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.