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Finding the Fourth Proportional to 1,315.45, 1,973.17 and 1,235.26

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Solution

The fourth proportional to 1,315.45, 1,973.17 and 1,235.26 is: 1,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.45 : 1,973.17 = 1,235.26 : x
  2. Step 2: Convert to fraction form
    1,315.45/1,973.17 = 1,235.26/x
  3. Step 3: Cross multiply
    1,315.45x = 1,973.17 × 1,235.26
  4. Step 4: Simplify right side
    1,315.45x = 2,437,368.11
  5. Step 5: Solve for x
    x = 2,437,368.11/1,315.45
  6. Step 6: Final answer
    x = 1,852.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.