Home / 1,653.12-2,475.63-922.77

Finding the Fourth Proportional to 1,653.12, 2,475.63 and 922.77

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Solution

The fourth proportional to 1,653.12, 2,475.63 and 922.77 is: 1,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.12 : 2,475.63 = 922.77 : x
  2. Step 2: Convert to fraction form
    1,653.12/2,475.63 = 922.77/x
  3. Step 3: Cross multiply
    1,653.12x = 2,475.63 × 922.77
  4. Step 4: Simplify right side
    1,653.12x = 2,284,437.10
  5. Step 5: Solve for x
    x = 2,284,437.10/1,653.12
  6. Step 6: Final answer
    x = 1,381.89

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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.