Home / 1,506.04-2,258.79-410.16

Finding the Fourth Proportional to 1,506.04, 2,258.79 and 410.16

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Solution

The fourth proportional to 1,506.04, 2,258.79 and 410.16 is: 615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.04 : 2,258.79 = 410.16 : x
  2. Step 2: Convert to fraction form
    1,506.04/2,258.79 = 410.16/x
  3. Step 3: Cross multiply
    1,506.04x = 2,258.79 × 410.16
  4. Step 4: Simplify right side
    1,506.04x = 926,472.24
  5. Step 5: Solve for x
    x = 926,472.24/1,506.04
  6. Step 6: Final answer
    x = 615.17

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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.