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Finding the Fourth Proportional to 1,871.04, 2,806.73 and 946.02

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Solution

The fourth proportional to 1,871.04, 2,806.73 and 946.02 is: 1,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.04 : 2,806.73 = 946.02 : x
  2. Step 2: Convert to fraction form
    1,871.04/2,806.73 = 946.02/x
  3. Step 3: Cross multiply
    1,871.04x = 2,806.73 × 946.02
  4. Step 4: Simplify right side
    1,871.04x = 2,655,222.71
  5. Step 5: Solve for x
    x = 2,655,222.71/1,871.04
  6. Step 6: Final answer
    x = 1,419.12

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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.