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Finding the Fourth Proportional to 1,886.48, 2,602.02 and 1,326.51

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Solution

The fourth proportional to 1,886.48, 2,602.02 and 1,326.51 is: 1,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.48 : 2,602.02 = 1,326.51 : x
  2. Step 2: Convert to fraction form
    1,886.48/2,602.02 = 1,326.51/x
  3. Step 3: Cross multiply
    1,886.48x = 2,602.02 × 1,326.51
  4. Step 4: Simplify right side
    1,886.48x = 3,451,605.55
  5. Step 5: Solve for x
    x = 3,451,605.55/1,886.48
  6. Step 6: Final answer
    x = 1,829.66

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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.