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Finding the Fourth Proportional to 1,536.47, 2,305.90 and 612.12

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Solution

The fourth proportional to 1,536.47, 2,305.90 and 612.12 is: 918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.47 : 2,305.90 = 612.12 : x
  2. Step 2: Convert to fraction form
    1,536.47/2,305.90 = 612.12/x
  3. Step 3: Cross multiply
    1,536.47x = 2,305.90 × 612.12
  4. Step 4: Simplify right side
    1,536.47x = 1,411,487.51
  5. Step 5: Solve for x
    x = 1,411,487.51/1,536.47
  6. Step 6: Final answer
    x = 918.66

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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.