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Finding the Fourth Proportional to 1,665.60, 2,295.75 and 1,223.34

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Solution

The fourth proportional to 1,665.60, 2,295.75 and 1,223.34 is: 1,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.60 : 2,295.75 = 1,223.34 : x
  2. Step 2: Convert to fraction form
    1,665.60/2,295.75 = 1,223.34/x
  3. Step 3: Cross multiply
    1,665.60x = 2,295.75 × 1,223.34
  4. Step 4: Simplify right side
    1,665.60x = 2,808,482.81
  5. Step 5: Solve for x
    x = 2,808,482.81/1,665.60
  6. Step 6: Final answer
    x = 1,686.17

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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.