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Finding the Fourth Proportional to 2,925.66, 4,388.49 and 978.01

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Solution

The fourth proportional to 2,925.66, 4,388.49 and 978.01 is: 1,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.66 : 4,388.49 = 978.01 : x
  2. Step 2: Convert to fraction form
    2,925.66/4,388.49 = 978.01/x
  3. Step 3: Cross multiply
    2,925.66x = 4,388.49 × 978.01
  4. Step 4: Simplify right side
    2,925.66x = 4,291,987.10
  5. Step 5: Solve for x
    x = 4,291,987.10/2,925.66
  6. Step 6: Final answer
    x = 1,467.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.