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Finding the Fourth Proportional to 1,898.70, 2,620.14 and 1,036.31

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Solution

The fourth proportional to 1,898.70, 2,620.14 and 1,036.31 is: 1,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.70 : 2,620.14 = 1,036.31 : x
  2. Step 2: Convert to fraction form
    1,898.70/2,620.14 = 1,036.31/x
  3. Step 3: Cross multiply
    1,898.70x = 2,620.14 × 1,036.31
  4. Step 4: Simplify right side
    1,898.70x = 2,715,283.15
  5. Step 5: Solve for x
    x = 2,715,283.15/1,898.70
  6. Step 6: Final answer
    x = 1,430.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.