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Finding the Fourth Proportional to 1,870.89, 2,565.63 and 1,776.12

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Solution

The fourth proportional to 1,870.89, 2,565.63 and 1,776.12 is: 2,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.89 : 2,565.63 = 1,776.12 : x
  2. Step 2: Convert to fraction form
    1,870.89/2,565.63 = 1,776.12/x
  3. Step 3: Cross multiply
    1,870.89x = 2,565.63 × 1,776.12
  4. Step 4: Simplify right side
    1,870.89x = 4,556,866.76
  5. Step 5: Solve for x
    x = 4,556,866.76/1,870.89
  6. Step 6: Final answer
    x = 2,435.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.