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Finding the Fourth Proportional to 1,925.37, 2,886.71 and 1,184.90

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Solution

The fourth proportional to 1,925.37, 2,886.71 and 1,184.90 is: 1,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.37 : 2,886.71 = 1,184.90 : x
  2. Step 2: Convert to fraction form
    1,925.37/2,886.71 = 1,184.90/x
  3. Step 3: Cross multiply
    1,925.37x = 2,886.71 × 1,184.90
  4. Step 4: Simplify right side
    1,925.37x = 3,420,442.32
  5. Step 5: Solve for x
    x = 3,420,442.32/1,925.37
  6. Step 6: Final answer
    x = 1,776.51

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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.