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Finding the Fourth Proportional to 1,558.47, 2,151.01 and 895.78

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Solution

The fourth proportional to 1,558.47, 2,151.01 and 895.78 is: 1,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.47 : 2,151.01 = 895.78 : x
  2. Step 2: Convert to fraction form
    1,558.47/2,151.01 = 895.78/x
  3. Step 3: Cross multiply
    1,558.47x = 2,151.01 × 895.78
  4. Step 4: Simplify right side
    1,558.47x = 1,926,831.74
  5. Step 5: Solve for x
    x = 1,926,831.74/1,558.47
  6. Step 6: Final answer
    x = 1,236.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.