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Finding the Fourth Proportional to 1,475.16, 2,036.87 and 978.50

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Solution

The fourth proportional to 1,475.16, 2,036.87 and 978.50 is: 1,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.16 : 2,036.87 = 978.50 : x
  2. Step 2: Convert to fraction form
    1,475.16/2,036.87 = 978.50/x
  3. Step 3: Cross multiply
    1,475.16x = 2,036.87 × 978.50
  4. Step 4: Simplify right side
    1,475.16x = 1,993,062.22
  5. Step 5: Solve for x
    x = 1,993,062.22/1,475.16
  6. Step 6: Final answer
    x = 1,351.08

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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.