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Finding the Fourth Proportional to 1,985.55, 2,978.08 and 1,153.07

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Solution

The fourth proportional to 1,985.55, 2,978.08 and 1,153.07 is: 1,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.55 : 2,978.08 = 1,153.07 : x
  2. Step 2: Convert to fraction form
    1,985.55/2,978.08 = 1,153.07/x
  3. Step 3: Cross multiply
    1,985.55x = 2,978.08 × 1,153.07
  4. Step 4: Simplify right side
    1,985.55x = 3,433,934.71
  5. Step 5: Solve for x
    x = 3,433,934.71/1,985.55
  6. Step 6: Final answer
    x = 1,729.46

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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.