Home / 1,407.16-2,110.10-723.64

Finding the Fourth Proportional to 1,407.16, 2,110.10 and 723.64

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Solution

The fourth proportional to 1,407.16, 2,110.10 and 723.64 is: 1,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.16 : 2,110.10 = 723.64 : x
  2. Step 2: Convert to fraction form
    1,407.16/2,110.10 = 723.64/x
  3. Step 3: Cross multiply
    1,407.16x = 2,110.10 × 723.64
  4. Step 4: Simplify right side
    1,407.16x = 1,526,952.76
  5. Step 5: Solve for x
    x = 1,526,952.76/1,407.16
  6. Step 6: Final answer
    x = 1,085.13

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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.