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Finding the Fourth Proportional to 2,156.64, 2,956.76 and 2,117.76

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Solution

The fourth proportional to 2,156.64, 2,956.76 and 2,117.76 is: 2,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.64 : 2,956.76 = 2,117.76 : x
  2. Step 2: Convert to fraction form
    2,156.64/2,956.76 = 2,117.76/x
  3. Step 3: Cross multiply
    2,156.64x = 2,956.76 × 2,117.76
  4. Step 4: Simplify right side
    2,156.64x = 6,261,708.06
  5. Step 5: Solve for x
    x = 6,261,708.06/2,156.64
  6. Step 6: Final answer
    x = 2,903.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.