Home / 1,417.74-2,126.18-430.62

Finding the Fourth Proportional to 1,417.74, 2,126.18 and 430.62

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Solution

The fourth proportional to 1,417.74, 2,126.18 and 430.62 is: 645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.74 : 2,126.18 = 430.62 : x
  2. Step 2: Convert to fraction form
    1,417.74/2,126.18 = 430.62/x
  3. Step 3: Cross multiply
    1,417.74x = 2,126.18 × 430.62
  4. Step 4: Simplify right side
    1,417.74x = 915,580.69
  5. Step 5: Solve for x
    x = 915,580.69/1,417.74
  6. Step 6: Final answer
    x = 645.80

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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.