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Finding the Fourth Proportional to 2,397.58, 3,307.44 and 1,558.77

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Solution

The fourth proportional to 2,397.58, 3,307.44 and 1,558.77 is: 2,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.58 : 3,307.44 = 1,558.77 : x
  2. Step 2: Convert to fraction form
    2,397.58/3,307.44 = 1,558.77/x
  3. Step 3: Cross multiply
    2,397.58x = 3,307.44 × 1,558.77
  4. Step 4: Simplify right side
    2,397.58x = 5,155,538.25
  5. Step 5: Solve for x
    x = 5,155,538.25/2,397.58
  6. Step 6: Final answer
    x = 2,150.31

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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.