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Finding the Fourth Proportional to 1,240.32, 1,859.28 and 1,133.40

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Solution

The fourth proportional to 1,240.32, 1,859.28 and 1,133.40 is: 1,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.32 : 1,859.28 = 1,133.40 : x
  2. Step 2: Convert to fraction form
    1,240.32/1,859.28 = 1,133.40/x
  3. Step 3: Cross multiply
    1,240.32x = 1,859.28 × 1,133.40
  4. Step 4: Simplify right side
    1,240.32x = 2,107,307.95
  5. Step 5: Solve for x
    x = 2,107,307.95/1,240.32
  6. Step 6: Final answer
    x = 1,699.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.