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Finding the Fourth Proportional to 1,681.40, 2,320.98 and 1,506.44

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Solution

The fourth proportional to 1,681.40, 2,320.98 and 1,506.44 is: 2,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.40 : 2,320.98 = 1,506.44 : x
  2. Step 2: Convert to fraction form
    1,681.40/2,320.98 = 1,506.44/x
  3. Step 3: Cross multiply
    1,681.40x = 2,320.98 × 1,506.44
  4. Step 4: Simplify right side
    1,681.40x = 3,496,417.11
  5. Step 5: Solve for x
    x = 3,496,417.11/1,681.40
  6. Step 6: Final answer
    x = 2,079.47

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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.