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Finding the Fourth Proportional to 1,648.17, 2,272.76 and 1,412.93

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Solution

The fourth proportional to 1,648.17, 2,272.76 and 1,412.93 is: 1,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.17 : 2,272.76 = 1,412.93 : x
  2. Step 2: Convert to fraction form
    1,648.17/2,272.76 = 1,412.93/x
  3. Step 3: Cross multiply
    1,648.17x = 2,272.76 × 1,412.93
  4. Step 4: Simplify right side
    1,648.17x = 3,211,254.13
  5. Step 5: Solve for x
    x = 3,211,254.13/1,648.17
  6. Step 6: Final answer
    x = 1,948.38

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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.