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Finding the Fourth Proportional to 1,569.66, 2,166.64 and 1,403.58

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Solution

The fourth proportional to 1,569.66, 2,166.64 and 1,403.58 is: 1,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.66 : 2,166.64 = 1,403.58 : x
  2. Step 2: Convert to fraction form
    1,569.66/2,166.64 = 1,403.58/x
  3. Step 3: Cross multiply
    1,569.66x = 2,166.64 × 1,403.58
  4. Step 4: Simplify right side
    1,569.66x = 3,041,052.57
  5. Step 5: Solve for x
    x = 3,041,052.57/1,569.66
  6. Step 6: Final answer
    x = 1,937.40

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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.