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Finding the Fourth Proportional to 1,536.47, 2,120.34 and 837.84

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Solution

The fourth proportional to 1,536.47, 2,120.34 and 837.84 is: 1,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.47 : 2,120.34 = 837.84 : x
  2. Step 2: Convert to fraction form
    1,536.47/2,120.34 = 837.84/x
  3. Step 3: Cross multiply
    1,536.47x = 2,120.34 × 837.84
  4. Step 4: Simplify right side
    1,536.47x = 1,776,516.76
  5. Step 5: Solve for x
    x = 1,776,516.76/1,536.47
  6. Step 6: Final answer
    x = 1,156.23

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