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Finding the Fourth Proportional to 1,904.85, 2,859.71 and 1,495.40

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Solution

The fourth proportional to 1,904.85, 2,859.71 and 1,495.40 is: 2,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.85 : 2,859.71 = 1,495.40 : x
  2. Step 2: Convert to fraction form
    1,904.85/2,859.71 = 1,495.40/x
  3. Step 3: Cross multiply
    1,904.85x = 2,859.71 × 1,495.40
  4. Step 4: Simplify right side
    1,904.85x = 4,276,388.56
  5. Step 5: Solve for x
    x = 4,276,388.56/1,904.85
  6. Step 6: Final answer
    x = 2,245.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.