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Finding the Fourth Proportional to 1,534.71, 2,290.19 and 1,315.20

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Solution

The fourth proportional to 1,534.71, 2,290.19 and 1,315.20 is: 1,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.71 : 2,290.19 = 1,315.20 : x
  2. Step 2: Convert to fraction form
    1,534.71/2,290.19 = 1,315.20/x
  3. Step 3: Cross multiply
    1,534.71x = 2,290.19 × 1,315.20
  4. Step 4: Simplify right side
    1,534.71x = 3,012,051.31
  5. Step 5: Solve for x
    x = 3,012,051.31/1,534.71
  6. Step 6: Final answer
    x = 1,962.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.