Home / 1,561.23-2,341.35-465.30

Finding the Fourth Proportional to 1,561.23, 2,341.35 and 465.30

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Solution

The fourth proportional to 1,561.23, 2,341.35 and 465.30 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.23 : 2,341.35 = 465.30 : x
  2. Step 2: Convert to fraction form
    1,561.23/2,341.35 = 465.30/x
  3. Step 3: Cross multiply
    1,561.23x = 2,341.35 × 465.30
  4. Step 4: Simplify right side
    1,561.23x = 1,089,430.16
  5. Step 5: Solve for x
    x = 1,089,430.16/1,561.23
  6. Step 6: Final answer
    x = 697.80

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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.