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Finding the Fourth Proportional to 2,153.54, 2,971.04 and 1,490.06

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Solution

The fourth proportional to 2,153.54, 2,971.04 and 1,490.06 is: 2,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.54 : 2,971.04 = 1,490.06 : x
  2. Step 2: Convert to fraction form
    2,153.54/2,971.04 = 1,490.06/x
  3. Step 3: Cross multiply
    2,153.54x = 2,971.04 × 1,490.06
  4. Step 4: Simplify right side
    2,153.54x = 4,427,027.86
  5. Step 5: Solve for x
    x = 4,427,027.86/2,153.54
  6. Step 6: Final answer
    x = 2,055.70

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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.