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Finding the Fourth Proportional to 1,898.42, 2,835.33 and 1,886.00

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Solution

The fourth proportional to 1,898.42, 2,835.33 and 1,886.00 is: 2,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.42 : 2,835.33 = 1,886.00 : x
  2. Step 2: Convert to fraction form
    1,898.42/2,835.33 = 1,886.00/x
  3. Step 3: Cross multiply
    1,898.42x = 2,835.33 × 1,886.00
  4. Step 4: Simplify right side
    1,898.42x = 5,347,411.13
  5. Step 5: Solve for x
    x = 5,347,411.13/1,898.42
  6. Step 6: Final answer
    x = 2,816.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.