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Finding the Fourth Proportional to 1,558.64, 2,150.89 and 1,026.88

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Solution

The fourth proportional to 1,558.64, 2,150.89 and 1,026.88 is: 1,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.64 : 2,150.89 = 1,026.88 : x
  2. Step 2: Convert to fraction form
    1,558.64/2,150.89 = 1,026.88/x
  3. Step 3: Cross multiply
    1,558.64x = 2,150.89 × 1,026.88
  4. Step 4: Simplify right side
    1,558.64x = 2,208,697.98
  5. Step 5: Solve for x
    x = 2,208,697.98/1,558.64
  6. Step 6: Final answer
    x = 1,417.07

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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.