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Finding the Fourth Proportional to 1,653.80, 2,464.60 and 1,603.74

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Solution

The fourth proportional to 1,653.80, 2,464.60 and 1,603.74 is: 2,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.80 : 2,464.60 = 1,603.74 : x
  2. Step 2: Convert to fraction form
    1,653.80/2,464.60 = 1,603.74/x
  3. Step 3: Cross multiply
    1,653.80x = 2,464.60 × 1,603.74
  4. Step 4: Simplify right side
    1,653.80x = 3,952,577.60
  5. Step 5: Solve for x
    x = 3,952,577.60/1,653.80
  6. Step 6: Final answer
    x = 2,390.00

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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.