Home / 1,571.06-2,353.45-946.02

Finding the Fourth Proportional to 1,571.06, 2,353.45 and 946.02

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Solution

The fourth proportional to 1,571.06, 2,353.45 and 946.02 is: 1,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.06 : 2,353.45 = 946.02 : x
  2. Step 2: Convert to fraction form
    1,571.06/2,353.45 = 946.02/x
  3. Step 3: Cross multiply
    1,571.06x = 2,353.45 × 946.02
  4. Step 4: Simplify right side
    1,571.06x = 2,226,410.77
  5. Step 5: Solve for x
    x = 2,226,410.77/1,571.06
  6. Step 6: Final answer
    x = 1,417.14

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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.