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Finding the Fourth Proportional to 1,870.68, 2,580.33 and 1,152.60

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Solution

The fourth proportional to 1,870.68, 2,580.33 and 1,152.60 is: 1,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.68 : 2,580.33 = 1,152.60 : x
  2. Step 2: Convert to fraction form
    1,870.68/2,580.33 = 1,152.60/x
  3. Step 3: Cross multiply
    1,870.68x = 2,580.33 × 1,152.60
  4. Step 4: Simplify right side
    1,870.68x = 2,974,088.36
  5. Step 5: Solve for x
    x = 2,974,088.36/1,870.68
  6. Step 6: Final answer
    x = 1,589.84

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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.