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Finding the Fourth Proportional to 1,402.99, 1,938.59 and 1,110.58

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Solution

The fourth proportional to 1,402.99, 1,938.59 and 1,110.58 is: 1,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.99 : 1,938.59 = 1,110.58 : x
  2. Step 2: Convert to fraction form
    1,402.99/1,938.59 = 1,110.58/x
  3. Step 3: Cross multiply
    1,402.99x = 1,938.59 × 1,110.58
  4. Step 4: Simplify right side
    1,402.99x = 2,152,959.28
  5. Step 5: Solve for x
    x = 2,152,959.28/1,402.99
  6. Step 6: Final answer
    x = 1,534.55

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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.