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Finding the Fourth Proportional to 1,959.78, 2,704.55 and 1,075.60

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Solution

The fourth proportional to 1,959.78, 2,704.55 and 1,075.60 is: 1,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.78 : 2,704.55 = 1,075.60 : x
  2. Step 2: Convert to fraction form
    1,959.78/2,704.55 = 1,075.60/x
  3. Step 3: Cross multiply
    1,959.78x = 2,704.55 × 1,075.60
  4. Step 4: Simplify right side
    1,959.78x = 2,909,001.84
  5. Step 5: Solve for x
    x = 2,909,001.84/1,959.78
  6. Step 6: Final answer
    x = 1,484.35

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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.