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Finding the Fourth Proportional to 1,402.98, 1,931.94 and 1,009.32

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Solution

The fourth proportional to 1,402.98, 1,931.94 and 1,009.32 is: 1,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.98 : 1,931.94 = 1,009.32 : x
  2. Step 2: Convert to fraction form
    1,402.98/1,931.94 = 1,009.32/x
  3. Step 3: Cross multiply
    1,402.98x = 1,931.94 × 1,009.32
  4. Step 4: Simplify right side
    1,402.98x = 1,949,945.68
  5. Step 5: Solve for x
    x = 1,949,945.68/1,402.98
  6. Step 6: Final answer
    x = 1,389.86

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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.