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Finding the Fourth Proportional to 1,681.18, 2,320.14 and 1,018.06

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Solution

The fourth proportional to 1,681.18, 2,320.14 and 1,018.06 is: 1,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.18 : 2,320.14 = 1,018.06 : x
  2. Step 2: Convert to fraction form
    1,681.18/2,320.14 = 1,018.06/x
  3. Step 3: Cross multiply
    1,681.18x = 2,320.14 × 1,018.06
  4. Step 4: Simplify right side
    1,681.18x = 2,362,041.73
  5. Step 5: Solve for x
    x = 2,362,041.73/1,681.18
  6. Step 6: Final answer
    x = 1,404.99

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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.