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Finding the Fourth Proportional to 1,569.60, 2,343.04 and 1,455.59

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Solution

The fourth proportional to 1,569.60, 2,343.04 and 1,455.59 is: 2,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.60 : 2,343.04 = 1,455.59 : x
  2. Step 2: Convert to fraction form
    1,569.60/2,343.04 = 1,455.59/x
  3. Step 3: Cross multiply
    1,569.60x = 2,343.04 × 1,455.59
  4. Step 4: Simplify right side
    1,569.60x = 3,410,507.81
  5. Step 5: Solve for x
    x = 3,410,507.81/1,569.60
  6. Step 6: Final answer
    x = 2,172.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.