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Finding the Fourth Proportional to 2,465.02, 3,401.53 and 1,402.80

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Solution

The fourth proportional to 2,465.02, 3,401.53 and 1,402.80 is: 1,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.02 : 3,401.53 = 1,402.80 : x
  2. Step 2: Convert to fraction form
    2,465.02/3,401.53 = 1,402.80/x
  3. Step 3: Cross multiply
    2,465.02x = 3,401.53 × 1,402.80
  4. Step 4: Simplify right side
    2,465.02x = 4,771,666.28
  5. Step 5: Solve for x
    x = 4,771,666.28/2,465.02
  6. Step 6: Final answer
    x = 1,935.75

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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.