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Finding the Fourth Proportional to 1,602.99, 2,211.93 and 1,013.40

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Solution

The fourth proportional to 1,602.99, 2,211.93 and 1,013.40 is: 1,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.99 : 2,211.93 = 1,013.40 : x
  2. Step 2: Convert to fraction form
    1,602.99/2,211.93 = 1,013.40/x
  3. Step 3: Cross multiply
    1,602.99x = 2,211.93 × 1,013.40
  4. Step 4: Simplify right side
    1,602.99x = 2,241,569.86
  5. Step 5: Solve for x
    x = 2,241,569.86/1,602.99
  6. Step 6: Final answer
    x = 1,398.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.