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Finding the Fourth Proportional to 2,402.32, 3,603.40 and 2,347.60

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Solution

The fourth proportional to 2,402.32, 3,603.40 and 2,347.60 is: 3,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.32 : 3,603.40 = 2,347.60 : x
  2. Step 2: Convert to fraction form
    2,402.32/3,603.40 = 2,347.60/x
  3. Step 3: Cross multiply
    2,402.32x = 3,603.40 × 2,347.60
  4. Step 4: Simplify right side
    2,402.32x = 8,459,341.84
  5. Step 5: Solve for x
    x = 8,459,341.84/2,402.32
  6. Step 6: Final answer
    x = 3,521.32

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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.