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Finding the Fourth Proportional to 1,854.85, 2,558.11 and 1,225.40

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Solution

The fourth proportional to 1,854.85, 2,558.11 and 1,225.40 is: 1,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.85 : 2,558.11 = 1,225.40 : x
  2. Step 2: Convert to fraction form
    1,854.85/2,558.11 = 1,225.40/x
  3. Step 3: Cross multiply
    1,854.85x = 2,558.11 × 1,225.40
  4. Step 4: Simplify right side
    1,854.85x = 3,134,712.58
  5. Step 5: Solve for x
    x = 3,134,712.58/1,854.85
  6. Step 6: Final answer
    x = 1,690.01

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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.