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Finding the Fourth Proportional to 1,886.54, 2,830.50 and 1,264.39

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Solution

The fourth proportional to 1,886.54, 2,830.50 and 1,264.39 is: 1,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.54 : 2,830.50 = 1,264.39 : x
  2. Step 2: Convert to fraction form
    1,886.54/2,830.50 = 1,264.39/x
  3. Step 3: Cross multiply
    1,886.54x = 2,830.50 × 1,264.39
  4. Step 4: Simplify right side
    1,886.54x = 3,578,848.82
  5. Step 5: Solve for x
    x = 3,578,848.82/1,886.54
  6. Step 6: Final answer
    x = 1,897.05

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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.