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Finding the Fourth Proportional to 1,901.40, 2,618.08 and 1,430

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Solution

The fourth proportional to 1,901.40, 2,618.08 and 1,430 is: 1,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.40 : 2,618.08 = 1,430 : x
  2. Step 2: Convert to fraction form
    1,901.40/2,618.08 = 1,430/x
  3. Step 3: Cross multiply
    1,901.40x = 2,618.08 × 1,430
  4. Step 4: Simplify right side
    1,901.40x = 3,743,854.40
  5. Step 5: Solve for x
    x = 3,743,854.40/1,901.40
  6. Step 6: Final answer
    x = 1,969.00

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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.