Home / 1,605.24-2,407.84-631.34

Finding the Fourth Proportional to 1,605.24, 2,407.84 and 631.34

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Solution

The fourth proportional to 1,605.24, 2,407.84 and 631.34 is: 947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.24 : 2,407.84 = 631.34 : x
  2. Step 2: Convert to fraction form
    1,605.24/2,407.84 = 631.34/x
  3. Step 3: Cross multiply
    1,605.24x = 2,407.84 × 631.34
  4. Step 4: Simplify right side
    1,605.24x = 1,520,165.71
  5. Step 5: Solve for x
    x = 1,520,165.71/1,605.24
  6. Step 6: Final answer
    x = 947.00

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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.