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Finding the Fourth Proportional to 1,389.45, 1,926.21 and 1,315.47

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Solution

The fourth proportional to 1,389.45, 1,926.21 and 1,315.47 is: 1,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.45 : 1,926.21 = 1,315.47 : x
  2. Step 2: Convert to fraction form
    1,389.45/1,926.21 = 1,315.47/x
  3. Step 3: Cross multiply
    1,389.45x = 1,926.21 × 1,315.47
  4. Step 4: Simplify right side
    1,389.45x = 2,533,871.47
  5. Step 5: Solve for x
    x = 2,533,871.47/1,389.45
  6. Step 6: Final answer
    x = 1,823.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.