Home / 1,585.10-2,373.53-1,408.77

Finding the Fourth Proportional to 1,585.10, 2,373.53 and 1,408.77

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Solution

The fourth proportional to 1,585.10, 2,373.53 and 1,408.77 is: 2,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.10 : 2,373.53 = 1,408.77 : x
  2. Step 2: Convert to fraction form
    1,585.10/2,373.53 = 1,408.77/x
  3. Step 3: Cross multiply
    1,585.10x = 2,373.53 × 1,408.77
  4. Step 4: Simplify right side
    1,585.10x = 3,343,761.38
  5. Step 5: Solve for x
    x = 3,343,761.38/1,585.10
  6. Step 6: Final answer
    x = 2,109.50

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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.