Home / 1,544.86-2,316.93-723.70

Finding the Fourth Proportional to 1,544.86, 2,316.93 and 723.70

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Solution

The fourth proportional to 1,544.86, 2,316.93 and 723.70 is: 1,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.86 : 2,316.93 = 723.70 : x
  2. Step 2: Convert to fraction form
    1,544.86/2,316.93 = 723.70/x
  3. Step 3: Cross multiply
    1,544.86x = 2,316.93 × 723.70
  4. Step 4: Simplify right side
    1,544.86x = 1,676,762.24
  5. Step 5: Solve for x
    x = 1,676,762.24/1,544.86
  6. Step 6: Final answer
    x = 1,085.38

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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.