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Finding the Fourth Proportional to 1,602.41, 2,211.34 and 972.77

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Solution

The fourth proportional to 1,602.41, 2,211.34 and 972.77 is: 1,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.41 : 2,211.34 = 972.77 : x
  2. Step 2: Convert to fraction form
    1,602.41/2,211.34 = 972.77/x
  3. Step 3: Cross multiply
    1,602.41x = 2,211.34 × 972.77
  4. Step 4: Simplify right side
    1,602.41x = 2,151,125.21
  5. Step 5: Solve for x
    x = 2,151,125.21/1,602.41
  6. Step 6: Final answer
    x = 1,342.43

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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.