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Finding the Fourth Proportional to 1,569.53, 2,161.03 and 1,332.98

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Solution

The fourth proportional to 1,569.53, 2,161.03 and 1,332.98 is: 1,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.53 : 2,161.03 = 1,332.98 : x
  2. Step 2: Convert to fraction form
    1,569.53/2,161.03 = 1,332.98/x
  3. Step 3: Cross multiply
    1,569.53x = 2,161.03 × 1,332.98
  4. Step 4: Simplify right side
    1,569.53x = 2,880,612.31
  5. Step 5: Solve for x
    x = 2,880,612.31/1,569.53
  6. Step 6: Final answer
    x = 1,835.34

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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.