Home / 1,464.46-2,023-1,137.08

Finding the Fourth Proportional to 1,464.46, 2,023 and 1,137.08

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Solution

The fourth proportional to 1,464.46, 2,023 and 1,137.08 is: 1,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.46 : 2,023 = 1,137.08 : x
  2. Step 2: Convert to fraction form
    1,464.46/2,023 = 1,137.08/x
  3. Step 3: Cross multiply
    1,464.46x = 2,023 × 1,137.08
  4. Step 4: Simplify right side
    1,464.46x = 2,300,312.84
  5. Step 5: Solve for x
    x = 2,300,312.84/1,464.46
  6. Step 6: Final answer
    x = 1,570.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.