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Finding the Fourth Proportional to 1,407.90, 1,942.10 and 988.08

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Solution

The fourth proportional to 1,407.90, 1,942.10 and 988.08 is: 1,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.90 : 1,942.10 = 988.08 : x
  2. Step 2: Convert to fraction form
    1,407.90/1,942.10 = 988.08/x
  3. Step 3: Cross multiply
    1,407.90x = 1,942.10 × 988.08
  4. Step 4: Simplify right side
    1,407.90x = 1,918,950.17
  5. Step 5: Solve for x
    x = 1,918,950.17/1,407.90
  6. Step 6: Final answer
    x = 1,362.99

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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.