Home / 1,461.34-2,192.08-474.07

Finding the Fourth Proportional to 1,461.34, 2,192.08 and 474.07

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Solution

The fourth proportional to 1,461.34, 2,192.08 and 474.07 is: 711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.34 : 2,192.08 = 474.07 : x
  2. Step 2: Convert to fraction form
    1,461.34/2,192.08 = 474.07/x
  3. Step 3: Cross multiply
    1,461.34x = 2,192.08 × 474.07
  4. Step 4: Simplify right side
    1,461.34x = 1,039,197.70
  5. Step 5: Solve for x
    x = 1,039,197.70/1,461.34
  6. Step 6: Final answer
    x = 711.13

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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.