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Finding the Fourth Proportional to 1,854.24, 2,558.80 and 1,026.24

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Solution

The fourth proportional to 1,854.24, 2,558.80 and 1,026.24 is: 1,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.24 : 2,558.80 = 1,026.24 : x
  2. Step 2: Convert to fraction form
    1,854.24/2,558.80 = 1,026.24/x
  3. Step 3: Cross multiply
    1,854.24x = 2,558.80 × 1,026.24
  4. Step 4: Simplify right side
    1,854.24x = 2,625,942.91
  5. Step 5: Solve for x
    x = 2,625,942.91/1,854.24
  6. Step 6: Final answer
    x = 1,416.18

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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.