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Finding the Fourth Proportional to 1,886.63, 2,817.59 and 1,627.16

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Solution

The fourth proportional to 1,886.63, 2,817.59 and 1,627.16 is: 2,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.63 : 2,817.59 = 1,627.16 : x
  2. Step 2: Convert to fraction form
    1,886.63/2,817.59 = 1,627.16/x
  3. Step 3: Cross multiply
    1,886.63x = 2,817.59 × 1,627.16
  4. Step 4: Simplify right side
    1,886.63x = 4,584,647.52
  5. Step 5: Solve for x
    x = 4,584,647.52/1,886.63
  6. Step 6: Final answer
    x = 2,430.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.