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Finding the Fourth Proportional to 1,886.40, 2,597.40 and 1,567.80

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Solution

The fourth proportional to 1,886.40, 2,597.40 and 1,567.80 is: 2,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.40 : 2,597.40 = 1,567.80 : x
  2. Step 2: Convert to fraction form
    1,886.40/2,597.40 = 1,567.80/x
  3. Step 3: Cross multiply
    1,886.40x = 2,597.40 × 1,567.80
  4. Step 4: Simplify right side
    1,886.40x = 4,072,203.72
  5. Step 5: Solve for x
    x = 4,072,203.72/1,886.40
  6. Step 6: Final answer
    x = 2,158.72

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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.