Home / 1,536.35-2,304.51-382.10

Finding the Fourth Proportional to 1,536.35, 2,304.51 and 382.10

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Solution

The fourth proportional to 1,536.35, 2,304.51 and 382.10 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.35 : 2,304.51 = 382.10 : x
  2. Step 2: Convert to fraction form
    1,536.35/2,304.51 = 382.10/x
  3. Step 3: Cross multiply
    1,536.35x = 2,304.51 × 382.10
  4. Step 4: Simplify right side
    1,536.35x = 880,547.51
  5. Step 5: Solve for x
    x = 880,547.51/1,536.35
  6. Step 6: Final answer
    x = 573.14

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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.