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Finding the Fourth Proportional to 1,475.65, 2,038.47 and 1,397.89

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Solution

The fourth proportional to 1,475.65, 2,038.47 and 1,397.89 is: 1,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.65 : 2,038.47 = 1,397.89 : x
  2. Step 2: Convert to fraction form
    1,475.65/2,038.47 = 1,397.89/x
  3. Step 3: Cross multiply
    1,475.65x = 2,038.47 × 1,397.89
  4. Step 4: Simplify right side
    1,475.65x = 2,849,556.83
  5. Step 5: Solve for x
    x = 2,849,556.83/1,475.65
  6. Step 6: Final answer
    x = 1,931.05

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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.