Home / 1,585.11-2,377.67-430.89

Finding the Fourth Proportional to 1,585.11, 2,377.67 and 430.89

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Solution

The fourth proportional to 1,585.11, 2,377.67 and 430.89 is: 646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.11 : 2,377.67 = 430.89 : x
  2. Step 2: Convert to fraction form
    1,585.11/2,377.67 = 430.89/x
  3. Step 3: Cross multiply
    1,585.11x = 2,377.67 × 430.89
  4. Step 4: Simplify right side
    1,585.11x = 1,024,512.07
  5. Step 5: Solve for x
    x = 1,024,512.07/1,585.11
  6. Step 6: Final answer
    x = 646.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.