Home / 1,748.16-2,412.44-1,002.10

Finding the Fourth Proportional to 1,748.16, 2,412.44 and 1,002.10

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Solution

The fourth proportional to 1,748.16, 2,412.44 and 1,002.10 is: 1,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.16 : 2,412.44 = 1,002.10 : x
  2. Step 2: Convert to fraction form
    1,748.16/2,412.44 = 1,002.10/x
  3. Step 3: Cross multiply
    1,748.16x = 2,412.44 × 1,002.10
  4. Step 4: Simplify right side
    1,748.16x = 2,417,506.12
  5. Step 5: Solve for x
    x = 2,417,506.12/1,748.16
  6. Step 6: Final answer
    x = 1,382.89

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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.