Home / 2,046.24-3,070.80-1,316.16

Finding the Fourth Proportional to 2,046.24, 3,070.80 and 1,316.16

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Solution

The fourth proportional to 2,046.24, 3,070.80 and 1,316.16 is: 1,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.24 : 3,070.80 = 1,316.16 : x
  2. Step 2: Convert to fraction form
    2,046.24/3,070.80 = 1,316.16/x
  3. Step 3: Cross multiply
    2,046.24x = 3,070.80 × 1,316.16
  4. Step 4: Simplify right side
    2,046.24x = 4,041,664.13
  5. Step 5: Solve for x
    x = 4,041,664.13/2,046.24
  6. Step 6: Final answer
    x = 1,975.17

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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.