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Finding the Fourth Proportional to 2,354.81, 3,532.47 and 1,037.99

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Solution

The fourth proportional to 2,354.81, 3,532.47 and 1,037.99 is: 1,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.81 : 3,532.47 = 1,037.99 : x
  2. Step 2: Convert to fraction form
    2,354.81/3,532.47 = 1,037.99/x
  3. Step 3: Cross multiply
    2,354.81x = 3,532.47 × 1,037.99
  4. Step 4: Simplify right side
    2,354.81x = 3,666,677.37
  5. Step 5: Solve for x
    x = 3,666,677.37/2,354.81
  6. Step 6: Final answer
    x = 1,557.10

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Why These Related Problems?

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