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Finding the Fourth Proportional to 1,564.40, 2,344.64 and 1,368.94

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Solution

The fourth proportional to 1,564.40, 2,344.64 and 1,368.94 is: 2,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.40 : 2,344.64 = 1,368.94 : x
  2. Step 2: Convert to fraction form
    1,564.40/2,344.64 = 1,368.94/x
  3. Step 3: Cross multiply
    1,564.40x = 2,344.64 × 1,368.94
  4. Step 4: Simplify right side
    1,564.40x = 3,209,671.48
  5. Step 5: Solve for x
    x = 3,209,671.48/1,564.40
  6. Step 6: Final answer
    x = 2,051.69

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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.