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Finding the Fourth Proportional to 1,567.71, 2,164.01 and 978.03

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Solution

The fourth proportional to 1,567.71, 2,164.01 and 978.03 is: 1,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.71 : 2,164.01 = 978.03 : x
  2. Step 2: Convert to fraction form
    1,567.71/2,164.01 = 978.03/x
  3. Step 3: Cross multiply
    1,567.71x = 2,164.01 × 978.03
  4. Step 4: Simplify right side
    1,567.71x = 2,116,461.81
  5. Step 5: Solve for x
    x = 2,116,461.81/1,567.71
  6. Step 6: Final answer
    x = 1,350.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.