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Finding the Fourth Proportional to 1,577, 2,368.98 and 1,030.04

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Solution

The fourth proportional to 1,577, 2,368.98 and 1,030.04 is: 1,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577 : 2,368.98 = 1,030.04 : x
  2. Step 2: Convert to fraction form
    1,577/2,368.98 = 1,030.04/x
  3. Step 3: Cross multiply
    1,577x = 2,368.98 × 1,030.04
  4. Step 4: Simplify right side
    1,577x = 2,440,144.16
  5. Step 5: Solve for x
    x = 2,440,144.16/1,577
  6. Step 6: Final answer
    x = 1,547.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.