Home / 2,048.40-2,827.44-1,459.08

Finding the Fourth Proportional to 2,048.40, 2,827.44 and 1,459.08

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Solution

The fourth proportional to 2,048.40, 2,827.44 and 1,459.08 is: 2,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.40 : 2,827.44 = 1,459.08 : x
  2. Step 2: Convert to fraction form
    2,048.40/2,827.44 = 1,459.08/x
  3. Step 3: Cross multiply
    2,048.40x = 2,827.44 × 1,459.08
  4. Step 4: Simplify right side
    2,048.40x = 4,125,461.16
  5. Step 5: Solve for x
    x = 4,125,461.16/2,048.40
  6. Step 6: Final answer
    x = 2,013.99

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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.