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Finding the Fourth Proportional to 1,681.47, 2,320.07 and 1,018.35

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Solution

The fourth proportional to 1,681.47, 2,320.07 and 1,018.35 is: 1,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.47 : 2,320.07 = 1,018.35 : x
  2. Step 2: Convert to fraction form
    1,681.47/2,320.07 = 1,018.35/x
  3. Step 3: Cross multiply
    1,681.47x = 2,320.07 × 1,018.35
  4. Step 4: Simplify right side
    1,681.47x = 2,362,638.19
  5. Step 5: Solve for x
    x = 2,362,638.19/1,681.47
  6. Step 6: Final answer
    x = 1,405.10

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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.