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Finding the Fourth Proportional to 2,837.63, 4,256.55 and 988.40

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Solution

The fourth proportional to 2,837.63, 4,256.55 and 988.40 is: 1,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.63 : 4,256.55 = 988.40 : x
  2. Step 2: Convert to fraction form
    2,837.63/4,256.55 = 988.40/x
  3. Step 3: Cross multiply
    2,837.63x = 4,256.55 × 988.40
  4. Step 4: Simplify right side
    2,837.63x = 4,207,184.66
  5. Step 5: Solve for x
    x = 4,207,184.66/2,837.63
  6. Step 6: Final answer
    x = 1,482.64

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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.