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Finding the Fourth Proportional to 2,973.52, 4,459.88 and 782.40

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Solution

The fourth proportional to 2,973.52, 4,459.88 and 782.40 is: 1,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.52 : 4,459.88 = 782.40 : x
  2. Step 2: Convert to fraction form
    2,973.52/4,459.88 = 782.40/x
  3. Step 3: Cross multiply
    2,973.52x = 4,459.88 × 782.40
  4. Step 4: Simplify right side
    2,973.52x = 3,489,410.11
  5. Step 5: Solve for x
    x = 3,489,410.11/2,973.52
  6. Step 6: Final answer
    x = 1,173.49

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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.