Home / 1,537.08-2,307.69-1,408.14

Finding the Fourth Proportional to 1,537.08, 2,307.69 and 1,408.14

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Solution

The fourth proportional to 1,537.08, 2,307.69 and 1,408.14 is: 2,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.08 : 2,307.69 = 1,408.14 : x
  2. Step 2: Convert to fraction form
    1,537.08/2,307.69 = 1,408.14/x
  3. Step 3: Cross multiply
    1,537.08x = 2,307.69 × 1,408.14
  4. Step 4: Simplify right side
    1,537.08x = 3,249,550.60
  5. Step 5: Solve for x
    x = 3,249,550.60/1,537.08
  6. Step 6: Final answer
    x = 2,114.11

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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.