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Finding the Fourth Proportional to 1,277.51, 1,924.95 and 1,051.47

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Solution

The fourth proportional to 1,277.51, 1,924.95 and 1,051.47 is: 1,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.51 : 1,924.95 = 1,051.47 : x
  2. Step 2: Convert to fraction form
    1,277.51/1,924.95 = 1,051.47/x
  3. Step 3: Cross multiply
    1,277.51x = 1,924.95 × 1,051.47
  4. Step 4: Simplify right side
    1,277.51x = 2,024,027.18
  5. Step 5: Solve for x
    x = 2,024,027.18/1,277.51
  6. Step 6: Final answer
    x = 1,584.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.