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Finding the Fourth Proportional to 1,536.26, 2,302.38 and 561.42

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Solution

The fourth proportional to 1,536.26, 2,302.38 and 561.42 is: 841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.26 : 2,302.38 = 561.42 : x
  2. Step 2: Convert to fraction form
    1,536.26/2,302.38 = 561.42/x
  3. Step 3: Cross multiply
    1,536.26x = 2,302.38 × 561.42
  4. Step 4: Simplify right side
    1,536.26x = 1,292,602.18
  5. Step 5: Solve for x
    x = 1,292,602.18/1,536.26
  6. Step 6: Final answer
    x = 841.40

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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.