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Finding the Fourth Proportional to 1,417.80, 1,970.10 and 1,402.62

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Solution

The fourth proportional to 1,417.80, 1,970.10 and 1,402.62 is: 1,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.80 : 1,970.10 = 1,402.62 : x
  2. Step 2: Convert to fraction form
    1,417.80/1,970.10 = 1,402.62/x
  3. Step 3: Cross multiply
    1,417.80x = 1,970.10 × 1,402.62
  4. Step 4: Simplify right side
    1,417.80x = 2,763,290.33
  5. Step 5: Solve for x
    x = 2,763,290.33/1,417.80
  6. Step 6: Final answer
    x = 1,948.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.