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Finding the Fourth Proportional to 1,315.10, 1,973.63 and 922.52

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Solution

The fourth proportional to 1,315.10, 1,973.63 and 922.52 is: 1,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.10 : 1,973.63 = 922.52 : x
  2. Step 2: Convert to fraction form
    1,315.10/1,973.63 = 922.52/x
  3. Step 3: Cross multiply
    1,315.10x = 1,973.63 × 922.52
  4. Step 4: Simplify right side
    1,315.10x = 1,820,720.39
  5. Step 5: Solve for x
    x = 1,820,720.39/1,315.10
  6. Step 6: Final answer
    x = 1,384.47

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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.