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Finding the Fourth Proportional to 1,666.56, 2,482.37 and 1,582.32

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Solution

The fourth proportional to 1,666.56, 2,482.37 and 1,582.32 is: 2,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.56 : 2,482.37 = 1,582.32 : x
  2. Step 2: Convert to fraction form
    1,666.56/2,482.37 = 1,582.32/x
  3. Step 3: Cross multiply
    1,666.56x = 2,482.37 × 1,582.32
  4. Step 4: Simplify right side
    1,666.56x = 3,927,895.79
  5. Step 5: Solve for x
    x = 3,927,895.79/1,666.56
  6. Step 6: Final answer
    x = 2,356.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.