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Finding the Fourth Proportional to 1,870.53, 2,806.75 and 1,434.58

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Solution

The fourth proportional to 1,870.53, 2,806.75 and 1,434.58 is: 2,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.53 : 2,806.75 = 1,434.58 : x
  2. Step 2: Convert to fraction form
    1,870.53/2,806.75 = 1,434.58/x
  3. Step 3: Cross multiply
    1,870.53x = 2,806.75 × 1,434.58
  4. Step 4: Simplify right side
    1,870.53x = 4,026,502.19
  5. Step 5: Solve for x
    x = 4,026,502.19/1,870.53
  6. Step 6: Final answer
    x = 2,152.60

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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.