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Finding the Fourth Proportional to 2,430.52, 3,643.64 and 1,607.06

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Solution

The fourth proportional to 2,430.52, 3,643.64 and 1,607.06 is: 2,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.52 : 3,643.64 = 1,607.06 : x
  2. Step 2: Convert to fraction form
    2,430.52/3,643.64 = 1,607.06/x
  3. Step 3: Cross multiply
    2,430.52x = 3,643.64 × 1,607.06
  4. Step 4: Simplify right side
    2,430.52x = 5,855,548.10
  5. Step 5: Solve for x
    x = 5,855,548.10/2,430.52
  6. Step 6: Final answer
    x = 2,409.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.