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Finding the Fourth Proportional to 2,405.53, 3,607.62 and 1,710.10

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Solution

The fourth proportional to 2,405.53, 3,607.62 and 1,710.10 is: 2,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.53 : 3,607.62 = 1,710.10 : x
  2. Step 2: Convert to fraction form
    2,405.53/3,607.62 = 1,710.10/x
  3. Step 3: Cross multiply
    2,405.53x = 3,607.62 × 1,710.10
  4. Step 4: Simplify right side
    2,405.53x = 6,169,390.96
  5. Step 5: Solve for x
    x = 6,169,390.96/2,405.53
  6. Step 6: Final answer
    x = 2,564.67

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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.